Convex-transitive Banach spaces and their hyperplanes

The topic of this dissertation is the geometric and isometric theory of Banach spaces. This work is motivated by the known Banach-Mazur rotation problem, which asks whether each transitive separable Banach space is isometrically a Hilbert space. A Banach space X is said to be transitive if the isometry group of X acts transitively on the unit sphere of X. In fact, some weaker symmetry conditions than transitivity are studied in the dissertation. One such condition is an almost isometric version of transitivity. Another investigated condition is convex-transitivity, which requires that the closed convex hull of the orbit of any point of the unit sphere under the rotation group is the whole unit ball. Following the tradition developed around the rotation problem, some contemporary problems are studied. Namely, we attempt to characterize Hilbert spaces by using convex-transitivity together with the existence of a 1-dimensional bicontractive projection on the space, and some mild geometric assumptions. The convex-transitivity of some vector-valued function spaces is studied as well. The thesis also touches convex-transitivity of Banach lattices and resembling geometric cases.

Open and closed boundaries in large-scale convective dynamos

Earlier work has suggested that large-scale dynamos can reach and maintain equipartition field strengths on a dynamical time scale only if magnetic helicity of the fluctuating field can be shed from the domain through open boundaries. To test this scenario in convection-driven dynamos by comparing results for open and closed boundary conditions. Three-dimensional numerical simulations of turbulent compressible convection with shear and rotation are used to study the effects of boundary conditions on the excitation and saturation level of large-scale dynamos. Open (vertical field) and closed (perfect conductor) boundary conditions are used for the magnetic field. The contours of shear are vertical, crossing the outer surface, and are thus ideally suited for driving a shear-induced magnetic helicity flux. We find that for given shear and rotation rate, the growth rate of the magnetic field is larger if open boundary conditions are used. The growth rate first increases for small magnetic Reynolds number, Rm, but then levels off at an approximately constant value for intermediate values of Rm. For large enough Rm, a small-scale dynamo is excited and the growth rate in this regime increases proportional to Rm^(1/2). In the nonlinear regime, the saturation level of the energy of the mean magnetic field is independent of Rm when open boundaries are used. In the case of perfect conductor boundaries, the saturation level first increases as a function of Rm, but then decreases proportional to Rm^(-1) for Rm > 30, indicative of catastrophic quenching. These results suggest that the shear-induced magnetic helicity flux is efficient in alleviating catastrophic quenching when open boundaries are used. The horizontally averaged mean field is still weakly decreasing as a function of Rm even for open boundaries.

Il mundus muliebris nelle fonti latine e nei contesti Pompeiani

The subject of the study is the classical Latin concept 'mundus muliebris', usually translated simply as women’s toiletry items. The task of the research is, on one hand, to find a more accurate and comprehensive literary definition for the concept as used in the early Imperial period, and on the other, to examine whether it is possible to find corresponding groupings of material objects among the finds from Pompeian houses destroyed by the eruption of Mount Vesuvius in AD 79. The study is based on two different bodies of evidence, literary and material, and consequently uses two independent methods of research. In the philological part of the study, all occurrences of the concept 'mundus muliebris' in classical Latin texts were identified and analysed in their proper literary context, paying special attention to information about the nature of the objects included (name, owner, quantity, value, location in the house). On the basis of this analysis, mirrors were chosen as the key elements of the archaeological research, being ̶ hypothetically ̶ the most probable objects to be found among any extant 'mundus muliebris' contexts in Pompeian houses. In the archaeological part of the study, all mirrors deposited in the Archaeological Storerooms of Pompeii, mostly unpublished, were examined, together with their original find contexts. For more detailed documentation, classification, as well as quantitative and functional analysis, the fifty-nine best preserved household or shop contexts were chosen. Among these contexts, only a few ‘ideal’ groups closely corresponding to the literary definitions were found. However, in most cases a functional artifact pattern of toiletry items could indeed be found grouped together with the mirror. The arrangement of the contexts in the domestic space also revealed a clear pattern. Firstly, the contexts consistently seem to be found in the place of storage, inside locked boxes, not in the place of use. Secondly, they show that for the storage of such objects small closed rooms flanking the main entrance of the house were preferred. Culturally, 'mundus muliebris' can be described as a very complex multi-layered concept intimately interrelated with the female gender, an instrument of its bodily creation and a symbol of its nature. Concretely, it has at its core mirrors and instruments for the care of skin and hair, and includes, in more technical definitions, washing equipment as well. In the Roman domus, lacking specific women’s quarters, this box containing toiletries and other personal objects could be defined as the true, although mobile, private space of the household’s female members.

Problems of Proto-Slavic Historical Nominal Morphology : On the Basis of Old Church Slavic

In this study I offer a diachronic solution for a number of difficult inflectional endings in Old Church Slavic nominal declensions. In this context I address the perhaps most disputed and the most important question of the Slavic nominal inflectional morphology: whether there was in Proto-Slavic an Auslautgesetz (ALG), a law of final syllables, that narrowed the Proto-Indo-European vowel */o/ to */u/ in closed word-final syllables. In addition, the work contains an exhaustive morphological classification of the nouns and adjectives that occur in canonical Old Church Slavic. I argue that Proto-Indo-European */o/ became Proto-Slavic */u/ before word-final */s/ and */N/. This conclusion is based on the impossibility of finding credible analogical (as opposed to phonological) explanations for the forms supporting the ALG hypothesis, and on the survival of the neuter gender in Slavic. It is not likely that the */o/-stem nominative singular ending */-u/ was borrowed from the accusative singular, because the latter would have been the only paradigmatic form with the stem vowel */-u-/. It is equally unlikely that the ending */-u/ was borrowed from the */u/-stems, because the latter constituted a moribund class. The usually stated motivation for such an analogical borrowing, i.e. a need to prevent the merger of */o/-stem masculines with neuters of the same class, is not tenable. Extra-Slavic, as well as intra-Slavic evidence suggests that phonologically-triggered mergers between two semantically opaque genders do not tend to be prevented, but rather that such mergers lead to the loss of the gender opposition in question. On the other hand, if */-os/ had not become */-us/, most nouns and, most importantly, all adjectives and pronouns would have lost the formal distinction between masculines and neuters. This would have necessarily resulted in the loss of the neuter gender. A new explanation is given for the most apparent piece of evidence against the ALG hypothesis, the nominative-accusative singular of the */es/-stem neuters, e.g. nebo 'sky'. I argue that it arose in late Proto-Slavic dialects, replacing regular nebe, under the influence of the */o/- and */yo/-stems where a correlation had emerged between a hard root-final consonant and the termination -o, on the one hand, and a soft root-final consonant and the termination -e, on the other.

Non-reductive Physicalism, Irreducibility of the Mental and the Problem of Mental Causation : A study of Donald Davidson's and Georg Henrik von Wright's positions in the philosophy of mind

In this study I consider what kind of perspective on the mind body problem is taken and can be taken by a philosophical position called non-reductive physicalism. Many positions fall under this label. The form of non-reductive physicalism which I discuss is in essential respects the position taken by Donald Davidson (1917-2003) and Georg Henrik von Wright (1916-2003). I defend their positions and discuss the unrecognized similarities between their views. Non-reductive physicalism combines two theses: (a) Everything that exists is physical; (b) Mental phenomena cannot be reduced to the states of the brain. This means that according to non-reductive physicalism the mental aspect of humans (be it a soul, mind, or spirit) is an irreducible part of the human condition. Also Davidson and von Wright claim that, in some important sense, the mental aspect of a human being does not reduce to the physical aspect, that there is a gap between these aspects that cannot be closed. I claim that their arguments for this conclusion are convincing. I also argue that whereas von Wright and Davidson give interesting arguments for the irreducibility of the mental, their physicalism is unwarranted. These philosophers do not give good reasons for believing that reality is thoroughly physical. Notwithstanding the materialistic consensus in the contemporary philosophy of mind the ontology of mind is still an uncharted territory where real breakthroughs are not to be expected until a radically new ontological position is developed. The third main claim of this work is that the problem of mental causation cannot be solved from the Davidsonian - von Wrightian perspective. The problem of mental causation is the problem of how mental phenomena like beliefs can cause physical movements of the body. As I see it, the essential point of non-reductive physicalism - the irreducibility of the mental - and the problem of mental causation are closely related. If mental phenomena do not reduce to causally effective states of the brain, then what justifies the belief that mental phenomena have causal powers? If mental causes do not reduce to physical causes, then how to tell when - or whether - the mental causes in terms of which human actions are explained are actually effective? I argue that this - how to decide when mental causes really are effective - is the real problem of mental causation. The motivation to explore and defend a non-reductive position stems from the belief that reductive physicalism leads to serious ethical problems. My claim is that Davidson's and von Wright's ultimate reason to defend a non-reductive view comes back to their belief that a reductive understanding of human nature would be a narrow and possibly harmful perspective. The final conclusion of my thesis is that von Wright's and Davidson's positions provide a starting point from which the current scientistic philosophy of mind can be critically further explored in the future.

Playing "Nordic": The Women of Niskavuori, Agri/Culture, and Imagining Finland on the Third Reich Stage

The theatrical censorship of the Third Reich considered the playwright's race and politics alongside the content of the drama. Given the political stigma of its "leftist" author, it is rather surprising that Hella Wuolijoki's Niskavuoren naiset opened in 1938 at the Staatliches Schauspielhaus in Hamburg. The play ran for fourteen performances before being closed by the Reichsdramaturgie, apparently at the instigation of Finnish critics. Yet this was not the end of the play's or its author's fortunes in the Third Reich, as the possibility of staging the play was raised several times over the next four years, coming to a close in 1942. Playing "Nordic" examines the ideological and theatrical background of this extended "cultural performance," as a means to reopening and reconstructing the work of the 1938 Die Frauen auf Niskavuori. Written by a Finnish, northern, "Nordic" author, and preoccupied with the dynamics of rural culture in an increasingly urbanized world, Niskavuoren naiset was understood in the Third Reich to illustrate and reinforce the racial, agri/cultural themes of Blut und Boden ("veri ja maa"). Playing "Nordic" examines this thematic relationship in three phases. The first phase uses archival materials to investigate the Reichsdramaturgie's understanding of the play and its author, and its ongoing discussion of Wuolijoki from 1937 to 1942. Play evaluator Sigmund Graff's description of Niskavuoren naiset as hamsunartig, or "Hamsun-esque," inspires the second phase of the dissertation, which first elaborates the meanings of Blut und Boden through a reading of contemporary "racial" theory and anthropology, and then assesses the representation of Finland within this discourse, one of the dominant cultural paradigms of the Third Reich. Imaging Finland for German audiences, the play stood among analogous, continued efforts to represent Finland and the rural life in the Third Reich, colored by Blut und Boden: art and agricultural exhibitions, essays and propaganda literature, mass demonstrations of the peasantry. This wider framework for the performance of "Finland" materializes the abstract or theoretical program of Blut und Boden in its everyday performed meanings; as such it provides the essential background for reading the Hamburg production of Die Frauen auf Niskavuori, which sustains the third and final phase. The German translation and the Hamburg photographic record are compared with the Helsinki premiere to assess the impact of Blut und Boden on the representation of Wuolijoki's play in the Third Reich. The journalistic critical response illuminates the effect that the dramatic complex of rural and racial values - generically identified as Bauerndrama in the Third Reich - had on the reception of the play; at the same time, both visual and critical documents also suggest possible moments of theatrical dissent in the Hamburg production. Playing "Nordic" undertakes a documentary and cultural reading of the changing theatrical meanings of Wuolijoki's Niskavuoren naiset as it crossed the frontier from Finland to the stage of the Third Reich. It also provides a model for the ways theatrical signification operates within a network of cultural and ideological meanings, suggesting the ideological work of theatrical production depends on, reinforces, and contests that tissue of values. Although Finnish criticism of Niskavuoren naiset has assumed the play's Blut und Boden resonance contributed to Wuolijoki's success in the Third Reich, this study shows a considerably more complex situation. This revealing production dramatizes the changing uses of plays in a politicized national and transnational context. As part of the framing of "Nordic" identity on the wider stage of the Third Reich, Die Frauen auf Niskavuori exemplifies the conjunction of concurrent - sometimes independent, sometimes interlocking - "racial" and national ideologies.

Herätys kylässä ja tuvissa : Rääkkylän Oravisalon kylä ja renqvistiläinen herätys 1820-luvulla

A Revival in a Village and its Households. The Village of Oravisalo in Rääkkylä Parish and the Renqvistist Revivalism in the 1820s. My purpose is to apply the science of religion and the study of past communities to the study of religious revivalism. Revivalism will be considered a religious phenomenon as well as a cultural and social phenomenon. What makes this study unique is the possibility to reconstruct a list of participating revivalists based on entries in the communion book of the time. The conflict between the revivalists and the chaplain of Rääkkylä also generated other documentary material. The community in Oravisalo was relatively stratified. People lived in complex and varying forms of households. They also had plentiful contacts both with unrelated inhabitants of Oravisalo and with the neighbouring villages. Through these contacts the inhabitants of Oravisalo were introduced to revivalism. In Oravisalo, the revival for the most part fell into a certain social stratum and did not severely damage existing relationships within families or among acquaintances. The revivalists formed a new community within the village but the community was neither very tightly-knit nor was it closed. The revival was an individual phenomenon affected by general factors. First, there were factors that brought about a quest for an applicable system of meanings. These factors included at least three important issues: the Great Partition of land, the crisis of slash-and-burn cultivation, and a population growth that increased the proportion of the landless in the village. As a result, many of the revivalists had low status and poor expectations for the future. Second, there were factors that appealed to the people in the message and character of the preacher, Henrik Renqvist. Third, the proximity of the village to Liperi, where the revival got its start, was crucial to revivalism s spread to Oravisalo. Culturally, the revival meant a change in the system of symbols or meanings, so it was not solely a matter of intensified religious fervour. For instance, Communion, prayer, reading, and perhaps baptism symbolised different things to the revivalists than to other villagers. However, the revivalists do not seem to have started any moral revolution in their village. The religious aspect defined the limits of the protest and the resistance towards authorities. The revivalists wanted only to have the right to follow their conscience. The freedom granted the female members was limited to the religious sphere. No social or economic claims were made. The revival altered the situation of its members only on a symbolic level, yet it also offered them status within their own group.

Järjestö jäänmurtajana : Suomen merimiesunioni työmarkkinaosapuolena ja suomalaisten laivatyöntekijöiden turvallisuuden vankentajana 1944-1980

Like an Icebreaker: The Finnish Seamen s Union as collective bargaining maverick and champion of sailors social safety 1944-1980. The Finnish Seamen's Union (FSU), which was established on a national basis in 1920, was one of the first Finnish trade unions to succeed in collective bargaining. In the early 1930s, the gains made in the late 1920s were lost, due to politically based internal rivalries, the Great Depression, and a disastrous strike. Unexpectedly the FSU survived and went on promoting the well-being of its members even during World War II. After the war the FSU was in an exceptionally favorable position to exploit the introduction of coordinated capitalism, which was based on social partnership between unions, employers and government. Torpedoes, mines and confiscations had caused severe losses to the Finnish merchant marine. Both ship-owners and government alike understood the crucial importance of using the remaining national shipping capacity effectively. The FSU could no longer be crushed, and so, in 1945, the union was allowed to turn all ocean-going Finnish ships into closed shops. The FSU also had another source of power. After the sailors of the Finnish icebreaker fleet also joined its ranks, the FSU could, in effect, block Finnish foreign trade in wintertime. From the late 1940s to the 1960s the union started and won numerous icebreaker strikes. Finnish seamen were thus granted special pension rights, reductions on income taxes and import duties, and other social privileges. The FSU could neither be controlled by union federations nor intimidated by employers or governments. The successful union and its tactically clever chairperson, Niilo Välläri, were continuously but erroneously accused of syndicalism. Välläri did not aim for socialism but wanted the Finnish seamen to get all the social benefits that capitalism could possibly offer. Välläri s policy was successfully followed by the FSU until the late 1980s when Finnish ship-owners were allowed to flag their vessels outside the national registry. Since then the FSU has been on the defensive and has yielded to pay cuts. The FSU members have not lost their social benefits, but they are under constant fear of losing their jobs to cheap foreign labor.