Metrizability of spaces of holomorphic functions

In this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin–Coeuré topology τδ, is not metrizable. Our result can be applied to get that, for all usual topologies, H(U) is metrizable if and only if E has finite dimension. RESUMEN. En este artículo se demuestra que si U es un abierto en un espacio E localmente convexo metrizable de dimensión infinita y H(U) es el espacio de funciones holomorfas en U, entonces la topología de Nachbin-Coeuré en H(U) no es metrizable. Este resultado se utiliza para demostrar que las topologías habituales en H(U) son metrizables si y sólo si E tiene dimensión finita.

Vector spaces of entire functions of unbounded type

Let E be an infinite dimensional complex Banach space. We prove the existence of an infinitely generated algebra, an infinite dimensional closed subspace and a dense subspace of entire functions on E whose non-zero elements are functions of unbounded type. We also show that the τδ topology on the space of all holomorphic functions cannot be obtained as a countable inductive limit of Fr´echet spaces. RESUMEN. Sea E un espacio de Banach complejo de dimensión infinita y sea H(E) el espacio de funciones holomorfas definidas en E. En el artículo se demuestra la existencia de un álgebra infinitamente generada en H(E), un subespacio vectorial en H(E) cerrado de dimensión infinita y un subespacio denso en H(E) cuyos elementos no nulos son funciones de tipo no acotado. También se demuestra que el espacio de funciones holomorfas con la topología ? no es un límite inductivo numberable de espacios de Fréchet.

Urban voids, spaces of great expectations

Study and progress of urban voids. opportunities for new urban design.

Challenges for future of Natural Spaces of Canary Islands, Spain

The preservation of biodiversity is a fundamental objective of a ll policies related to a more sustainable development in any modern society. The rain forest and pine forests are two unique Canarian ecosystems with high importance to global biodiversity, holding a large number of endemic species and subspecies that is a priority to preserve. In this work the challenges that will face the natural areas of the Canary Islands are studied, as well as their fundamental value for economic and environmental development of the islands.

Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).

The function of socialization in social evolution

Mode of access: Internet.

Everyday tactics and spaces of power: the role of informal economies in post-Soviet Ukraine

Utilising de Certeau's concepts of daily life and his delineation between strategies and tactics as everyday practices this paper examines the role of informal economies in post-Ukraine. Based on 700 household surveys and seventy-five in-depth interviews, conducted in three Ukrainian cities, the paper argues that individuals/households have developed a wide range of tactics in response to the economic marginalisation the country has endured since the collapse of the Soviet Union. Firstly, the paper details the importance of informal economies in contemporary Ukraine while highlighting that many such practices are operated out of necessity due to low wage and pension rates and high levels of corruption. This challenges state-produced statistics on the scale of economic marginalisation currently experienced in the country. By exploring a variety of these tactics the paper then examines how unequal power relations shape the spaces in which these practices operate in and how they can be simultaneously sites of exploitation and resistance to economic marginalisation. The paper concludes pessimistically by suggesting that the way in which these economic spaces are shaped precludes the development of state policies which might benefit the economically marginalised.

Beyond all reason:spaces of hope in the struggle for England’s universities

This essay examines how academics and students in England have been primed to comply with a political agenda of “deep” neoliberalization through cumulative processes of institutional and subjective undermining and considers what might be an appropriate logic of critical response. It first describes how the embedding of principles and mechanisms of market governance within academic life has depoliticized methods for critically theorizing and collectively resisting these processes and then explores the work of recent student-led opposition to the British government’s new policies, teasing out some theoretical implications of the logic of occupation being cultivated there. It suggests that by fusing a determination for autonomy with a transgressive cultivation of new forms of thinking and social practice, the occupations illustrate new critical-experimental work in the politics of possibility. The underlying logic thus offers some resources for reimagining modalities of resistance to processes of deep neoliberalization; however, becoming receptive to them may also require a critique of professional academic subjectivities and reevaluation of attachments to existing forms of the university itself.

The impact of buddying on psychological capital, work engagement and turnover intentions:an empirical study of socialization in the professional services sector

This article reports on a study investigating the impact of new employees' satisfaction with buddying on work engagement and explores the role of psychological capital in mediating this relationship. The study took place within a professional services organization wherein data were collected from 78 graduate newcomers in receipt of buddying. Satisfaction with buddying was found to have a positive relationship to both work engagement and psychological capital. The satisfaction with the buddy/work engagement relationship was fully mediated by psychological capital, providing support for Saks & Gruman's (2011) socialization resources theory. The results underscore the valuable role buddying can play as part of organizational socialization from a positive organizational behavior perspective. The research contributes to the growing evidence that positively oriented human resource practices can develop personal resources of newcomers within organizations. Recommendations are made for how the organization can improve and build upon this resource, thus developing the psychological capital of newcomers. © 2012 Wiley Periodicals, Inc.

Isomorphism Problems for the Baire Function Spaces of Topological Spaces

Let a compact Hausdorff space X contain a non-empty perfect subset. If α < β and β is a countable ordinal, then the Banach space Bα (X) of all bounded real-valued functions of Baire class α on X is a proper subspace of the Banach space Bβ (X). In this paper it is shown that: 1. Bα (X) has a representation as C(bα X), where bα X is a compactification of the space P X – the underlying set of X in the Baire topology generated by the Gδ -sets in X. 2. If 1 ≤ α < β ≤ Ω, where Ω is the first uncountable ordinal number, then Bα (X) is uncomplemented as a closed subspace of Bβ (X). These assertions for X = [0, 1] were proved by W. G. Bade [4] and in the case when X contains an uncountable compact metrizable space – by F.K.Dashiell [9]. Our argumentation is one non-metrizable modification of both Bade’s and Dashiell’s methods.

Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators

2000 Mathematics Subject Classification: 35E45

Fractional Derivatives in Spaces of Generalized Functions

MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo

On generalized orlicz sequence spaces of Fourier coefficients for trigonometric gap series. I.

We investigate the operator associating with a function fєLp2π, 1of Fourier coefficients of ƒ with respect to a trigonometric gap system, as well as an operator from a modular space X ρs(ϕ) to the generalized Orlicz sequence space lϕ.