Cantor-Bernstein Sextuples for Banach Spaces

Let X and Y be Banach spaces isomorphic to complemented subspaces of each other with supplements A and B. In 1996, W. T. Gowers solved the Schroeder-Bernstein (or Cantor-Bernstein) problem for Banach spaces by showing that X is not necessarily isomorphic to Y. In this paper, we obtain a necessary and sufficient condition on the sextuples (p, q, r, s, u, v) in N with p + q >= 1, r + s >= 1 and u, v is an element of N*, to provide that X is isomorphic to Y, whenever these spaces satisfy the following decomposition scheme A(u) similar to X(P) circle plus Y(q) B(v) similar to X(r) circle plus Y(s). Namely, Phi = (p - u)(s - v) - (q + u)(r + v) is different from zero and Phi divides p + q and r + s. These sextuples are called Cantor-Bernstein sextuples for Banach spaces. The simplest case (1, 0, 0, 1, 1, 1) indicates the well-known Pelczynski`s decomposition method in Banach space. On the other hand, by interchanging some Banach spaces in the above decomposition scheme, refinements of the Schroeder-Bernstein problem become evident.

A BROADER CONTEXT FOR MONOTONICALLY MONOLITHIC SPACES

This is a sequel of the work done on (strongly) monotonically monolithic spaces and their generalizations. We introduce the notion of monotonically kappa-monolithic space for any infinite cardinal kappa and present the relevant results. We show, among other things, that any sigma-product of monotonically kappa-monolithic spaces is monotonically kappa-monolithic for any infinite cardinal kappa; besides, it is consistent that any strongly monotonically omega-monolithic space with caliber omega(1) is second countable. We also study (strong) monotone kappa-monolithicity in linearly ordered spaces and subspaces of ordinals.

The Role of Gay Spaces for a Gay Destination : Gay Tourism in Gran Canaria

This thesis has the aim to evaluate the role of gay spaces in Gran Canaria as a gay tourists destination with particular reference to gay exclusive resorts. The validation of the gay identity is a key motivation for homosexuals to travel, in order to connect with other homosexuals and experience the gay life that they might not be able to experience at home. Gay spaces have been defined both as liberated areas as well as ghettos, where the homosexuals are, in a way, restrained. The method chosen, a small number of semi- structured interviews with managers of gay exclusive resorts in Maspalomas, the hub of gay life in Gran Canaria, where major LGBT events are held, there is a gay friendly environment, a thriving gay scene and many gay exclusive resorts. In the case of Gran Canaria the gay-specific offer is complementary to the ‘regular’ tourism offer, as they coexist, complement and at times overlap. Nevertheless the gay centric holiday is still predominant amongst gay men, and it is likely to continue to be according to the informants. This is because gay tourists seek freedom and a sense of inclusion that they would not be able to find in mixed environments.

Just which Reality do you Mean? Users' Experiences of Virtual Spaces

Virtual Reality is a relatively new technology in the relatively young field of computer science. The design of Virtual Reality has only recently come into discussion, as well as the implications for this sort of design. I hope to determine how a user can work most efficiently and accurately in a Virtual World. By studying this, I hope to help in the standardization of Virtual Reality design.

Non-emptiness of the alpha-core

We prove non-emptiness of the alpha-core for balanced games with non-ordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991) and Kajii (1992). In particular we answer an open question in Kajii (1992) regarding the applicability of the non-emptiness results to models with infinite dimensional strategy spaces. We provide two models with Knightian and voting preferences for which the results of Scarf (1971) and Kajii (1992) cannot be applied while our non-emptiness result applies.

Competition and cooperation between international courts: a critical approach to the new paradigms of cross-border dispute resolution model

This article examines the arising cross-border dispute resolution models (Cooperation and Competition among national Courts) from a critical perspective. Although they have been conceived to surpass the ordinary solution of a Modern paradigm (exclusive jurisdiction, choice of court, lis pendens, forum non conveniens, among others), they are insufficient to deal with problems raised with present globalization, as they do not abandon aspects of that paradigm, namely, (i) statebased Law; and (ii) standardization of cultural issues.

Cross-border reverse takeover: o caso das multinacionais brasileiras

O Cross-border reverse takeover, conduzido pelas multinacionais brasileiras, gerou desempenho superior? Cross-border reverse takeover tem sido a expressão usada para designar a aquisição de empresas em países desenvolvidos por empresas de países em desenvolvimento. Essas aquisições, reversas porque invertem o fluxo tradicional dos investimentos internacionais, respondem atualmente por parcela significativa desses investimentos e colocam em cheque a forma tradicional de pensar os negócios internacionais. Meu argumento é que as empresas que fizeram aquisições em países desenvolvidos passam a ter acesso aos recursos não disponíveis no país de origem, tais como novas tecnologias, técnicas de gestão mais avançadas, mercado de capitais mais desenvolvidos, recursos financeiros de baixo custo, entre outros. Por outro lado, elas já desenvolveram competências para gerir esses recursos e passam a ter vantagem competitiva sobre os competidores locais, levando ao desempenho superior. No entanto, partindo dos dados da base de dados Thomson ONE, que registra todas as fusões e aquisições anunciadas, oncluídas ou não, e empregando as metodologias de estudos de evento e de regressões multivariadas, com base em dados contábeis sobre uma amostra de empresas brasileiras listadas em bolsa de valores, esta tese demonstra que estatisticamente não é possível afirmar que essas empresas obtiveram desempenho superior.

Estimates for the Poisson kernel and Hardy spaces on compact manifolds

We study Hardy spaces on the boundary of a smooth open subset or R-n and prove that they can be defined either through the intrinsic maximal function or through Poisson integrals, yielding identical spaces. This extends to any smooth open subset of R-n results already known for the unit ball. As an application, a characterization of the weak boundary values of functions that belong to holomorphic Hardy spaces is given, which implies an F. and M. Riesz type theorem. (C) 2004 Elsevier B.V. All rights reserved.

Reversibility properties of semigroup actions on homogeneous spaces

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Cauchy-Stieltjes Integral on Time Scales in Banach Spaces and Hysteresis Operators

The play operator has a fundamental importance in the theory of hysteresis. It was studied in various settings as shown by P. Krejci and Ph. Laurencot in 2002. In that work it was considered the Young integral in the frame of Hilbert spaces. Here we study the play in the frame of the regulated functions (that is: the ones having only discontinuities of the first kind) on a general time scale T (that is: with T being a nonempty closed set of real numbers) with values in a Banach space. We will be showing that the dual space in this case will be defined as the space of operators of bounded semivariation if we consider as the bilinearity pairing the Cauchy-Stieltjes integral on time scales.

Actinopterygii, Siluriformes, Loricariidae, Loricariichthys platymetopon Isbrucker and Nijssen, 1979: first record in Reservoir of Canoas II, Middle Paranapanema River, border of the states of São Paulo and Parana, Brazil.

First record of the cascudo, Loricariichthys platymetopon Isbrucker and Nijssen, 1979 in Canoas II Reservoir (Middle Paranapanema River, border of the states of São Paulo and Parana, Brazil). Its occurrence is due to the flooding of Sete Quedas waterfall, as a result of the construction of Itaipu Reservoir. Furthermore, there is absence or low abundance of natural predators, like Salminus brasiliensis, since this species has difficulties to adapt or even survive in reservoirs.

First record of Amblyomma rotundatum Koch, 1844 (Acari: Ixodidae) parasitizing Paleosuchus palpebrosus Cuvier, 1807 (Reptilia: Crocodylidae), in the western border of Pantanal, Mato Grosso do Sul, Brazil.

This is the first record of Amblyomma rotundatum parasitizing Paleosuchus palpebrosus. This record was made during a herpetofaunal study carried out in high-elevation habitats that are under protection in the mountain range "Serra do Amolar", located in the western border of Brazilian Pantanal, in the state of Mato Grosso do Sul.