On universal Banach spaces of density continuum

We consider the question whether there exists a Banach space X of density continuum such that every Banach space of density at most continuum isomorphically embeds into X (called a universal Banach space of density c). It is well known that a""(a)/c (0) is such a space if we assume the continuum hypothesis. Some additional set-theoretic assumption is indeed needed, as we prove in the main result of this paper that it is consistent with the usual axioms of set-theory that there is no universal Banach space of density c. Thus, the problem of the existence of a universal Banach space of density c is undecidable using the usual axioms of set-theory. We also prove that it is consistent that there are universal Banach spaces of density c, but a""(a)/c (0) is not among them. This relies on the proof of the consistency of the nonexistence of an isomorphic embedding of C([0, c]) into a""(a)/c (0).

GEOMETRIC RELATIONS BETWEEN SPACES OF NUCLEAR OPERATORS AND SPACES OF COMPACT OPERATORS

We extend and provide a vector-valued version of some results of C. Samuel about the geometric relations between the spaces of nuclear operators N(E, F) and spaces of compact operators K(E, F), where E and F are Banach spaces C(K) of all continuous functions defined on the countable compact metric spaces K equipped with the supremum norm. First we continue Samuel's work by proving that N(C(K-1), C(K-2)) contains no subspace isomorphic to K(C(K-3), C(K-4)) whenever K-1, K-2, K-3 and K-4 are arbitrary infinite countable compact metric spaces. Then we show that it is relatively consistent with ZFC that the above result and the main results of Samuel can be extended to C(K-1, X), C(K-2,Y), C(K-3, X) and C(K-4, Y) spaces, where K-1, K-2, K-3 and K-4 are arbitrary infinite totally ordered compact spaces; X comprises certain Banach spaces such that X* are isomorphic to subspaces of l(1); and Y comprises arbitrary subspaces of l(p), with 1 < p < infinity. Our results cover the cases of some non-classical Banach spaces X constructed by Alspach, by Alspach and Benyamini, by Benyamini and Lindenstrauss, by Bourgain and Delbaen and also by Argyros and Haydon.

Hypoellipticity in spaces of ultradistributions-Study of a model case

In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear partial differential operators. Our main tool is a new a-priori inequality, which is stated in terms of the behaviour of holomorphic functions on appropriate wedges. In particular, for sum of squares operators satisfying Hormander's condition, we thus obtain a new method for studying analytic hypoellipticity for such a class. We also show how this method can be explicitly applied by studying a model operator, which is constructed as a perturbation of the so-called Baouendi-Goulaouic operator.

Brazilian mothers` socialization goals: Intracultural differences in seven Brazilian cities

The present study aimed to investigate Brazilian mothers` socialization goals. The participants in the study were 349 primiparous mothers, whose ages ranged from 17 to 47 years (mean = 26.6 years), who had children aged between 1 and 48 months (mean = 16.4 months). The families were living in seven different cities representing each of the five geographical regions of the country. A scale to evaluate the families` socio-economic status and an interview about socialization goals were used. The answers were coded in five categories defined in previous studies: self-maximization, self-control, lovingness, proper demeanor, and decency. Comparison of the means showed that Brazilian mothers gave more emphasis to self-maximization and proper demeanor than to the other categories, presenting a pattern that fosters the development of children`s autonomous-relational selves. The intracultural variation found was related to the different cities studied. GLM results showed main effects of both city size and mothers` educational level on their socialization goals. These findings contribute to the understanding of characteristics of socialization goals related with autonomy and sociocentrism.

Effects of selective bile duct ligation on liver parenchyma in young animals: histologic and molecular evaluations

Background/Purpose: The mechanisms of increased collagen production and liver parenchyma fibrosis are poorly understood. These phenomena are observed mainly in children with biliary obstruction (BO), and in a great number of patients, the evolution to biliary cirrhosis and hepatic failure leads to the need for liver transplantation before adolescence. However, pediatric liver transplantation presents with biliary complications in 20% to 30% of cases in the postoperative period. Intra-or extrahepatic stenosis of bile ducts is frequent and may lead to secondary biliary cirrhosis and the need for retransplantation. It is unknown whether biliary stenosis involving isolated segments or lobes may affect the adjacent nonobstructed lobes by paracrine or endocrine means, leading to fibrosis in this parenchyma. Therefore, the present study aimed to create an experimental model of selective biliary duct ligation in young animals with a subsequent evaluation of the histologic and molecular alterations in liver parenchyma of the obstructed and nonobstructed lobes. Methods: After a pilot study to standardize the surgical procedures, weaning rats underwent ligation of the bile ducts of the median, left lateral, and caudate liver lobes. The bile duct of the right lateral lobe was kept intact. To avoid intrahepatic biliary duct collaterals neoformation, the parenchymal connection between the right lateral and median lobes was clamped. The animals were divided into groups according to the time of death: 1, 2, 3, 4, and 8 weeks after surgical procedure. After death, the median and left lateral lobes (with BO) and the right lateral lobe (without BO [NBO]) were harvested separately. A group of 8 healthy nonoperated on animals served as controls. Liver tissues were subjected to histologic evaluation and quantification of the ductular proliferation and of the portal fibrosis. The expressions of smooth muscle alpha-actin (alpha-SMA), desmin, and transforming growth factor beta 1 genes were studied by molecular analyses (semiquantitative reverse transcriptase-polymerase chain reaction and real-time polymerase chain reaction, a quantitative method). Results: Histologic analyses revealed the occurrence of ductular proliferation and collagen formation in the portal spaces of both BO and NBO lobes. These phenomena were observed later in NBO than BO. Bile duct density significantly increased 1 week after duct ligation; it decreased after 2 and 3 weeks and then increased again after 4 and 8 weeks in both BO and NBO lobes. The portal space collagen area increased after 2 weeks in both BO and NBO lobes. After 3 weeks, collagen deposition in BO was even higher, and in NBO, the collagen area started decreasing after 2 weeks. Molecular analyses revealed increased expression of the alpha-SMA gene in both BO and NBO lobes. The semiquantitative and quantitative methods showed concordant results. Conclusions: The ligation of a duct responsible for biliary drainage of the liver lobe promoted alterations in the parenchyma and in the adjacent nonobstructed parenchyma by paracrine and/or endocrine means. This was supported by histologic findings and increased expression of alpha-SMA, a protein related to hepatic fibrogenesis. (C) 2012 Elsevier Inc. All rights reserved.

Reproducing kernel Hilbert spaces associated with kernels on topological spaces

We analyze reproducing kernel Hilbert spaces of positive definite kernels on a topological space X being either first countable or locally compact. The results include versions of Mercer's theorem and theorems on the embedding of these spaces into spaces of continuous and square integrable functions.

Weighted Fourier–Laplace transforms in reproducing kernel Hilbert spaces on the sphere

We study the action of a weighted Fourier–Laplace transform on the functions in the reproducing kernel Hilbert space (RKHS) associated with a positive definite kernel on the sphere. After defining a notion of smoothness implied by the transform, we show that smoothness of the kernel implies the same smoothness for the generating elements (spherical harmonics) in the Mercer expansion of the kernel. We prove a reproducing property for the weighted Fourier–Laplace transform of the functions in the RKHS and embed the RKHS into spaces of smooth functions. Some relevant properties of the embedding are considered, including compactness and boundedness. The approach taken in the paper includes two important notions of differentiability characterized by weighted Fourier–Laplace transforms: fractional derivatives and Laplace–Beltrami derivatives.

Do ciberespaço à iconomia: projeções metapóricas

Na sociedade contemporânea o ser humano se vê inserido – ou invadido – em ambientes cada vez mais configurados por complexos recursos tecnológicos. É o ciberespaço, onde as imagens inundam o cotidiano e se traduzem em valor, o corpo adquire novo status imaterial e as noções de lugar e tempo se transformam e quase se anulam. O cinema pensa e produz também uma desterritorialização da imagem em movimento desde os seus primeiros tempos de imagem-máquina. Este trabalho reflete sobre as transformações da ordem social que implicam a emergência de uma “iconomia” a partir dos espaços simbólicos, tomando três momentos críticos na história do cinema como índices de uma convergência entre material e imaterial que se consolida a partir da emergência do ciberespaço. O quase-método metapórico é mobilizado como ferramenta de reconstrução metodológica desses ícones da história do cinema relacionados à desconstrução do Homo faber. O “outro lado” do ciberespaço, abrindo continuamente novos espaços-tempos de criação de valor, identifica-se a uma iconomia em que as projeções narrativas tornam-se fontes paradigmáticas de valor e de “mais gozar”.

Comunicação/educação: relações com o consumo. Importância para a constituição da cidadania

O aparato midiático envolve as tradicionais agências de socialização e disputa com elas – sobretudo com a escola – a primazia na formulação dos sentidos sociais. Este é um dos aspectos dos estudos do campo comunicação/educação. A questão do consumo como formador de identidades emerge nesse âmbito. Este artigo trata da importância de se estabelecer as relações do campo comunicação/educação com a teoria e a prática do consumo com vistas à formação de sujeitos capazes de, partindo da realidade objetiva, construir novos modos de consumir em nova variável histórica.

LEISURE AND MENTAL HEALTH IN PEOPLE WITH HYPERTENSION: CONVERGENCE IN HEALTH EDUCATION

People with hypertension constantly deal with issues related to mental health due to the psychosocial determinants of this illness, and leisure is an important control strategy. The objective of this study was to promote health education to a group of hypertensive patients, through research-action, based on critical-social pedagogy, and taking into consideration the participants' perception of leisure. Educational activities were conducted and, following, an evaluation was performed regarding the subjects' opinion about the impact of leisure on their lives and mental health. The group perceived leisure as a coping strategy for loneliness and also as a late development of independence; it was also regarded as a means of socialization and as a promotion of mental health. These perceptions revealed two themes: aging, leisure, and chronic disease; and knowledge and leisure experiences. Educational actions, such as group dynamics and discussions, were planned considering these themes with the purpose of providing the necessary conditions for socializing and exchanging experiences.