Decompositions of spaces of measures

Let M be the Banach space of sigma-additive complex-valued measures on an abstract measurable space. We prove that any closed, with respect to absolute continuity norm-closed, linear subspace L of M is complemented and describe the unique complement, projection onto L along which has norm 1. Using this fact we prove a decomposition theorem, which includes the Jordan decomposition theorem, the generalized Radon-Nikodym theorem and the decomposition of measures into decaying and non-decaying components as particular cases. We also prove an analog of the Jessen-Wintner purity theorem for our decompositions.

Protest practice and (tree) cultures of conflict: understanding the spaces of ‘tree maiming’ in eighteenth- and early nineteenth-century England

Developing understandings of protest and cultures of resistance has been a central theme of the 'new' cultural geography of the 1990s and 2000s. But whilst geographers of the here and now have been highly sensitive to the importance of acts of protest which occur outside of the context of broader social movements, geographers concerned with past protests have tended to focus overwhelmingly upon either understanding the development of social movements or highly specific place-based studies. Through a focus upon the hitherto ignored practice of 'tree maiming', this paper demonstrates not only the value of examining specific protest practices in helping to better understand the complexity of conflict, but also how in periods of acute socio-economic change the evolving relationship between humans and the non-human – in this case trees – is a central discourse to the protest practices of the poor. Such attacks often involved complex cultural understandings about the ways in which trees should – and should not – be socially enrolled.

Reconfiguring spaces of conflict: Northern Ireland and the impact of European integration

The Irish border has historically been one of the most contested borders in Europe. In the context of the peace process and EU membership, co-operation between Northern Ireland and the Republic of Ireland has been encouraged, supported and normalised, although internal borders of segregation stubbornly remain. This paper offers a conceptualisation of borders in conflict cases and a theoretical account of how European integration can affect their transformation. Analysis of the Northern Ireland case shows there are ambiguities within integration that allow for a ‘rebordering’ of identities at the same time as the state border diminishes in significance.

Collaborative artistic laboratories. Transfrontier spaces of cultural production

The appearance of the open code paradigm and the demands of social movements have permeated the ways in which today’s cultural institutions are organized. This article analyzes the birth of a new critical and cooperative spatiality and how it is transforming current modes of cultural research and production. It centers on the potential for establishing the new means of cooperation that are being tested in what are defined as collaborative artistic laboratories. These are hybrid spaces of research and creation based on networked and cooperative structures producing a new societal-technical body that forces us to reconsider the traditional organic conditions of the productive scenarios of knowledge and artistic practice.

‘‘Capital of Culture - you must be having a laugh!” Challenging the official rhetoric of Liverpool as the 2008 European cultural capital’

Major cultural events are increasingly seen by local stakeholders as important opportunities to stimulate urban regeneration, city branding and economic development. The European Capital of Culture programme is a prominent example. Since 1985 over thirty cities have hosted the title and today it remains a highly sought-after prize. This paper analyses competing interpretations of the success of Liverpool's hosting of the European Capital of Culture in 2008. It unpacks contrasting views of Liverpool08, from the official triumphant message of urban regeneration and economic renaissance to more critical analyses that problematise important elements of the event and its social and spatial impacts. In so doing, it challenges the hyperbole of culture-led transformation to reveal different geographies of culture, different cultural experiences and different socio-economic realities; it also offers an additional cultural reading of Liverpool in 2008. Through the example of Liverpool this paper shows how local culture is politicised, manipulated and sanitised in order to stimulate urban regeneration and construct a spatial re-branding of the city.

De grands événements culturels sont de plus en plus perçus par les rentiers locaux comme des opportunités importantes pour stimuler la régénération urbaine, produire la devise des villes et le développement économique. L'initiative La Capitale Européenne de la Culture est un exemple proéminent. Depuis 1985, plus de trente villes ont accueilli le titre et maintenant il reste un prix largement recherché. Cet article analyse des interprétations en concurrence du succès de l'accueil de Liverpool de la Capitale Européenne de la Culture en 2008. Il déballe des vues contrastées de Liverpool08, du message officiel et triomphal de la régénération urbaine et de la renaissance économique à des analyses plus critiques qui problématisent des éléments importants de l'événement et ses impacts sociaux et spatiaux. De cette façon, il conteste l'hyperbole de la transformation menée par la culture pour révéler des géographies différentes de la culture, des expériences différentes de la culture et des réalités socioéconomiques différentes; il offre aussi une interprétation culturelle différente de Liverpool en 2008. Au travers de l'exemple de Liverpool cet article montre comment la culture locale est politisée, manipulée et aseptisée pour stimuler la régénération urbaine et construire un relookage spatial de la ville.

Cada vez más, los inversores locales vean a los eventos culturales como oportunidades importantes para estimular regeneración urbana, el desarollo económico y la branding a una ciudad. El Capital Europeo de Cultura es un ejemplo prominente. Desde 1985, más que treinta ciudades han presentado el título y hoy sigue siendo un premio deseable. Este papel se analiza interpretaciones competitivos del éxito del Capital Europea de Cultura 2008 en Liverpool. Se deshace las perspectivas opuestas del Liverpool08, del mensaje triunfante de regeneración urbana y renacimiento económico, a analices críticos que problematizan elementos importantes del evento y sus impactos sociales y espaciales. Al hacer esto, se cuestiona el hipérbole de la transformación cultural para revelar geografías diferentes de cultura, experiencias culturales diferentes y realidades diferentes socio-económicas; también ofrece un entendimiento cultural adicional de Liverpool en el 2008. Através el ejemplo de Liverpool, este papel demuestra como la cultura local está politizada, manipulada, y desinfectado para estimular regeneración urbana y construir una nueva branding de la ciudad.

Infinite Dimensional Banach spaces of functions with nonlinear properties

The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on Rn failing the Denjoy-Clarkson property; a Banach space of non Riemann integrable bounded functions, but with antiderivative at each point of an interval; a Banach space of infinitely differentiable functions that vanish at infinity and are not the Fourier transform of any Lebesgue integrable function.

Use of culture and molecular analysis to determine the effect of antibiotic treatment on microbial community diversity and abundance during exacerbation in patients with cystic fibrosis

Background: Anaerobic bacteria are increasingly regarded as important in cystic fibrosis (CF) pulmonary infection. The aim of this study was to determine the effect of antibiotic treatment on aerobic and anaerobic microbial community diversity and abundance during exacerbations in patients with CF.

Methods: Sputum was collected at the start and completion of antibiotic treatment of exacerbations and when clinically stable. Bacteria were quantified and identified following culture, and community composition was also examined using culture-independent methods.

Results: Pseudomonas aeruginosa or Burkholderia cepacia complex were detected by culture in 24/26 samples at the start of treatment, 22/26 samples at completion of treatment and 11/13 stable samples. Anaerobic bacteria were detected in all start of treatment and stable samples and in 23/26 completion of treatment samples. Molecular analysis showed greater bacterial diversity within sputum samples than was detected by culture; there was reasonably good agreement between the methods for the presence or absence of aerobic bacteria such as P aeruginosa (kappa=0.74) and B cepacia complex (kappa=0.92), but agreement was poorer for anaerobes. Both methods showed that the composition of the bacterial community varied between patients but remained relatively stable in most individuals despite treatment. Bacterial abundance decreased transiently following treatment, with this effect more evident for aerobes (median decrease in total viable count 2.3 x 10(7) cfu/g, p=0.005) than for anaerobes (median decrease in total viable count 3 x 10(6) cfu/g, p=0.046).

Conclusion: Antibiotic treatment targeted against aerobes had a minimal effect on abundance of anaerobes and community composition, with both culture and molecular detection methods required for comprehensive characterisation of the microbial community in the CF lung. Further studies are required to determine the clinical significance of and optimal treatment for these newly identified bacteria.

The spaces of knowledge: Contributions towards a historical geography of science

Reprinted in Trevor Barnes and Derek Gregory (eds), Reading Human Geography: The Poetics and Politics of Inquiry, (London: Arnold, 1997), pp. 27-48

The influence of culture on home-based family caregiving at end-of-life: A case study of Dutch reformed family care givers in Ontario, Canada

Families are facing increased pressure to provide care to their terminally-ill or dying kin in the home. It is known that balancing care with other personal and social roles can adversely affect family caregivers' (FCGs) health, yet access to supportive services which can mitigate burden is often inadequate. Cultural factors are known to shape the experience of caregiving; however, most research to date tends to neglect the experiences of FCGs from different cultural groups. This understanding is necessary to ensure that supportive services are both meaningful and culturally-appropriate. Using qualitative methods, we undertook longitudinal research with a sample of Dutch Reformed FCGs (n = 5) to understand their experiences of caregiving and bereavement. The results of the study are suggestive of a cultural specificity with respect to caregiving that impacts both responsibilities and reactions to care. Three themes were salient to this group as a cultural entity: cultural attitudes towards care, religious beliefs and coping, and c. ulturally-informed care-seeking behaviours. These three themes were seen to be a function of their religious and ethnic identities and were reinforced by ties to the communities in which they resided. Cultural identity provided a framework through which to understand and make sense of the experience, while group membership provided access to networks of informal support. This research contributes to the geographical literature on care/caregiving by providing insight into the social, cultural and religious context of informal family caregiving with a population who live in close geographic proximity. On a practical level, this case study indicates the importance of considering how these factors may operate in other settings in order to implement timely and appropriate interventions to better support FCGs who are caring for their terminally-ill loved-ones at home.