Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008)

This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.

Natural disaster accounting bias and its equivalence across genetic resource stocks

Two sources of bias arise in conventional loss predictions in the wake of natural disasters. One source of bias stems from neglect of accounting for animal genetic resource loss. A second source of bias stems from failure to identify, in addition to the direct effects of such loss, the indirect effects arising from implications impacting animal-human interactions. We argue that, in some contexts, the magnitude of bias imputed by neglecting animal genetic resource stocks is substantial. We show, in addition, and contrary to popular belief, that the biases attributable to losses in distinct genetic resource stocks are very likely to be the same. We derive the formal equivalence across the distinct resource stocks by deriving an envelope result in a model that forms the mainstay of enquiry in subsistence farming and we validate the theory, empirically, in a World-Society-for-the-Protection-of-Animals application

Community based ecotourism as a panacea for protected areas: the use of common property theory in its analysis and development

Tourism is the worlds largest employer, accounting for 10% of jobs worldwide (WTO, 1999). There are over 30,000 protected areas around the world, covering about 10% of the land surface(IUCN, 2002). Protected area management is moving towards a more integrated form of management, which recognises the social and economic needs of the worlds finest areas and seeks to provide long term income streams and support social cohesion through active but sustainable use of resources. Ecotourism - 'responsible travel to natural areas that conserves the environment and improves the well- being of local people' (The Ecotourism Society, 1991) - is often cited as a panacea for incorporating the principles of sustainable development in protected area management. However, few examples exist worldwide to substantiate this claim. In reality, ecotourism struggles to provide social and economic empowerment locally and fails to secure proper protection of the local and global environment. Current analysis of ecotourism provides a useful checklist of interconnected principles for more successful initiatives, but no overall framework of analysis or theory. This paper argues that applying common property theory to the application of ecotourism can help to establish more rigorous, multi-layered analysis that identifies the institutional demands of community based ecotourism (CBE). The paper draws on existing literature on ecotourism and several new case studies from developed and developing countries around the world. It focuses on the governance of CBE initiatives, particularly the interaction between local stakeholders and government and the role that third party non-governmental organisations can play in brokering appropriate institutional arrangements. The paper concludes by offering future research directions."

African easterly wave variability and its relationship to Atlantic tropical cyclone activity

Automatic tracking of vorticity centers in European Centre for Medium-Range Weather Forecasts analyses has been used to develop a 20-yr climatology of African easterly wave activity. The tracking statistics at 600 and 850 mb confirm the complicated easterly wave structures present over the African continent. The rainy zone equatorward of 15 degreesN is dominated by 600-mb activity, and the much drier Saharan region poleward of 15 degreesN is more dominated by 850-mb activity. Over the Atlantic Ocean there is just one storm track with the 600- and 850-mb wave activity collocated. Based on growth/decay and genesis statistics, it appears that the 850-mb waves poleward of 15 degreesN over land generally do not get involved with the equatorward storm track over the ocean. Instead, there appears to be significant development of 850-mb activity at the West African coast in the rainy zone around (10 degreesN, 10 degreesW), which, it is proposed, is associated with latent heat release. Based on the tracking statistics, it has been shown that there is marked interannual variability in African easterly wave (AEW) activity. It is especially marked at the 850-mb level at the West African coast between about 10 degrees and 15 degreesN, where the coefficient of variation is 0.29. For the period between 1985 and 1998, a notable positive correlation is seen between this AEW activity and Atlantic tropical cyclone activity. This correlation is particularly strong for the postreanalysis period between 1994 and 1998. This result suggests that Atlantic tropical cyclone activity may be influenced by the number of AEWs leaving the West African coast, which have significant low-level amplitudes, and not simply by the total number of AEWs.

Features of the Atlantic diet and its healthiness: Theory and evidence from social science

In order to understand diets, why and how they change and can be influenced, it is important to understand how food choices are made. The has been the subject of, considerable study within many of the social science disciplines and the humanities. The paper draws on the theoretical and empirical work of psychologists, sociologists, economists, market researchers, anthropologists, geographers and historians to understand better the forces behind food choice, derive some general empirical messages from the literature, to shed light on food choice in a European context and to address the question of whether there is, or has been, a recognisably Atlantic diet. The paper proceeds to analyse the characteristics of the food consumption patterns in the Atlantic diet countries, examines whether their food consumption patterns are homogenous (i.e. similar across the countries of this group), whether they are specific (i.e. different from the ones in other country groups) and finally evaluates the nutritional composition of the Atlantic diet against the WHO/FAO recommendations for a healthy and wholesome diet.

Developmental expression of myostatin in cardiomyocytes and its effect on foetal and neonatal rat cardiomyocyte proliferation

Objectives: Myostatin, a member of the transforming growth factor-beta (TGF-beta) family, plays a key role in skeletal muscle myogenesis by limiting hyperplastic and hypertrophic muscle growth. In cardiac muscle, myostatin has been shown to limit agonist-induced cardiac hypertrophic growth. However, its role in cardiac hyperplastic growth remains undetermined. The aim of this study was to characterise the expression of myostatin in developing myocardium, determine its effect on cardiomyocyte proliferation, and explore the signalling mechanisms affected by myostatin in dividing cardiomyocytes. Methods: We used quantitative PCR and Western blotting to study the expression of myostatin in cardiomyocytes isolated from rat myocardium at different developmental ages. We. determined the effect of recombinant myostatin on proliferation and cell viability in dividing cardiomyocytes in culture. We analysed myostatin's effect on cardiomyocyte cell cycle progression by flow cytometry and used Western blotting to explore the signalling mechanisms involved. Results: Myostatin is expressed differentially in cardiomyocytes during cardiac development such that increasing expression correlated with a low cardiomyocyte proliferation index. Proliferating foetal cardiomyocytes, from embryos at 18 days of gestation, expressed low levels of myostatin mRNA and protein, whereas isolated cardiomyocytes from postnatal day 10 hearts, wherein the majority of cardiomyocytes have lost their ability to proliferate, displayed a 6-fold increase in myostatin expression. Our in vitro studies demonstrated that myostatin inhibited proliferation of dividing foetal and neonatal cardiomyocytes. Flow cytometric analysis showed that this inhibition occurs mainly via a block in the G1-S phase transition of the cardiomyocyte cell cycle. Western blot analysis showed that part of the mechanism underpinning the inhibition of cardiomyocyte proliferation by myostatin involves phosphorylation of SMAD2 and altered expressions of the cell cycle proteins p21 and CDK2. Conclusions: We conclude that myostatin is an inhibitor of cardiomyocyte proliferation with the potential to limit cardiomyocyte hyperplastic growth by altering cardiac cell cycle progression. (c) 2007 European Society of Cardiology. Published by Elsevier B.V. All fights reserved.

Song development in birds: the role of early experience and its potential effect on rehabilitation success

Environmental conditions during the early life stages of birds can have significant effects on the quality of sexual signals in adulthood, especially song, and these ultimately have consequences for breeding success and fitness. This has wide-ranging implications for the rehabilitation protocols undertaken in wildlife hospitals which aim to return captive-reared animals to their natural habitat. Here we review the current literature on bird song development and learning in order to determine the potential impact that the rearing of juvenile songbirds in captivity can have on rehabilitation success. We quantify the effects of reduced learning on song structure and relate this to the possible effects on an individual's ability to defend a territory or attract a mate. We show the importance of providing a conspecific auditory model for birds to learn from in the early stages post-fledging, either via live- or tape-tutoring and provide suggestions for tutoring regimes. We also highlight the historical focus on learning in a few model species that has left an information gap in our knowledge for most species reared at wildlife hospitals.