4 resultados para c-Invariant Hermitian Form

em Glasgow Theses Service


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This thesis examines topographical art depicting Scotland’s natural scenery and built environments, architecture, antiquities and signs of modern improvement, made during the period 1660 to 1820. It sets out to demonstrate that topography and topographical art was not exclusively antiquarian in nature, but ranged across various fields of learning and practice. It included the work of artists, geographers, cartographers, travel writers, poets, landscape gardeners, military surveyors, naturalists and historians who were concerned with representing the country’s varied, and often contentious, histories within an increasingly modernising present. The visual images that are considered here were forms of knowledge that found expression in drawings, paintings and engravings, elevations, views and plans. They were made on military surveys and picturesque tours, and were often intended to be included alongside written texts, both published and unpublished, frequently connecting with travels, tours, memoirs, essays and correspondence. It will also be argued that topography was a social practice, involving networks of artists, collectors, publishers and writers, who exchanged information in drawings and letters in a nationwide, and often increasingly commercial enterprise. This thesis will explore some of the strands of such a vast network of picture-making that existed in Scotland, and Britain, between 1660 and 1820, as visual images were circulated, copied, recycled and adapted, and topographical and antiquarian visual culture emerges as a complex, synoptic form of inquiry.

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The amphidinolides are marine macrolides extracted from dinoflagellates of the genus Amphidinium. To date, 37 amphidinolides have been isolated and identified, most of them possessing cytotoxicity against human cancer cell lines. Among these, amphidinolides C, F, C2 and C3 represent synthetic targets of interest owing to their scarcity, structural complexity and promising biological activities. This thesis describes the work realised towards the total synthesis of amphidinolides C and F, with a focus on the different strategies investigated and the key fragments synthesised. In the first approach, the C18−C29 fragment of amphidinolide F was prepared using an intramolecular etherification of an epoxide under acidic catalysis to produce the 2,5-trans-disubstituted tetrahydrofuran ring featured in the natural product. Unfortunately, dithiane alkylation with the C1−C17 iodide counterpart generated the desired coupling product in low yield. A second approach proposing to build the C17−C18 bond by a silicon-tethered RCM proved unsuccessful, because the requisite diene could not be obtained. It was then envisioned to form the C18−C19 bond by displacement of a triflate with an alkyne and install the ketone at C18 by a protoborylation/oxidation sequence. To this end, the C19−C29 triflate precursor was synthesised. Displeasingly, the C1−C18 alkyne counterpart (work by Dr Filippo Romiti) could not be prepared and coupling of the two fragments was not attempted. In the latest approach, the C10−C29 fragment of amphidinolide F was obtained employing a boron-mediated aldol condensation and a dithiane alkylation to form the C13−C14 and C18−C19 bonds. Several endgame strategies were examined including the successful Yamaguchi esterification of the C13-epi C10−C29 fragment and the C1−C9 acid. A challenging Stille crosscoupling was then effected to close the macrocycle but only yielded the desired macrolactone in trace amounts after global desilylation.

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In this thesis we introduce nuclear dimension and compare it with a stronger form of the completely positive approximation property. We show that the approximations forming this stronger characterisation of the completely positive approximation property witness finite nuclear dimension if and only if the underlying C*-algebra is approximately finite dimensional. We also extend this result to nuclear dimension at most omega. We review interactions between separably acting injective von Neumann algebras and separable nuclear C*-algebras. In particular, we discuss aspects of Connes' work and how some of his strategies have been used by C^*-algebraist to estimate the nuclear dimension of certain classes of C*-algebras. We introduce a notion of coloured isomorphisms between separable unital C*-algebras. Under these coloured isomorphisms ideal lattices, trace spaces, commutativity, nuclearity, finite nuclear dimension and weakly pure infiniteness are preserved. We show that these coloured isomorphisms induce isomorphisms on the classes of finite dimensional and commutative C*-algebras. We prove that any pair of Kirchberg algebras are 2-coloured isomorphic and any pair of separable, simple, unital, finite, nuclear and Z-stable C*-algebras with unique trace which satisfy the UCT are also 2-coloured isomorphic.

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This thesis focuses on the history of the inflexional subjunctive and its functional substitutes in Late Middle English. To explore why and how the inflexional subjunctive declined in the history of English language, I analysed 2653 examples of three adverbial clauses introduced by if (1882 examples), though (305 examples) and lest (466 examples). Using a corpus-based approach, this thesis argues that linguistic change in subjunctive constructions did not happen suddenly but rather gradually, and the way it changed was varied , and that different constructions changed at different speeds in different environments. It is well known that the inflexional subjunctive declined in the history of English, mainly because of inflexional loss. Strangely however this topic has been comparatively neglected in the scholarly literature, especially with regard to the Middle English period, probably due to the limitations of data and also because study of this development requires very cumbersome textual research. This thesis has derived and analysed the data from three large corpora in the public domain: the Middle English Grammar Corpus (MEG-C for short), the Innsbruck Computer Archive of Machine-Readable English Texts (ICAMET for short), and some selected texts from The Corpus of Middle English Prose and Verse, part of the Middle English Compendium that also includes the Middle English Dictionary. The data were analysed from three perspectives: 1) clausal type, 2) dialect, and 3) textual genre. The basic methodology for the research was to analyse the examples one by one, with special attention being paid to the peculiarities of each text. In addition, this thesis draw on some complementary – indeed overlapping -- linguistic theories for further discussion: 1) Biber’s multi-dimensional theory, 2) Ogura and Wang’s (1994) S-curve or ‘diffusion’ theory, 3) Kretzchmar’s (2009) linguistics of speech, and 4) Halliday’s (1987) notion of language as a dynamic open system. To summarise the outcomes of this thesis: 1) On variation between clausal types, it was shown that the distributional tendencies of verb types (sub, ind, mod) are different between the three adverbial clauses under consideration. 2) On variation between dialects, it has been shown that the northern area, i.e. the so-called Great Scandinavian Belt, displays an especially high comparative ratio of the inflexional subjunctive construction compared to the other areas. This thesis suggests that this result was caused by the influence of Norse, relating the finding to the argument of Samuels (1989) that the present tense -es ending in the northern dialect was introduced by the influence of the Scandinavians. 3) On variation between genres, those labelled Science, Documents and Religion display relatively high ratio of the inflexional subjunctive, while Letter, Romance and History show relatively low ratio of the inflexional subjunctive. This results are explained by Biber’s multi-dimensional theory, which shows that the inflexional subjunctive can be related to the factors ‘informational’, ‘non-narrative’, ‘persuasive’ and ‘abstract’. 4) Lastly, on the inflexional subjunctive in Late Middle English, this thesis concludes that 1) the change did not happen suddenly but gradually, and 2) the way language changes varies. Thus the inflexional subjunctive did not disappear suddenly from England, and there was a time lag among the clausal types, dialects and genres, which can be related to Ogura and Wang’s S-curve (“diffusion”) theory and Kretzchmars’s view of “linguistic continuum”. This thesis has shown that the issues with regard to the inflexional subjunctive are quite complex, so that research in this area requires not only textual analysis but also theoretical analysis, considering both intra- and extra- linguistic factors.