CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Matematica from Instituto de Matemática e Estatística (1982), master's at Matematica from Instituto de Matematica e Estatistica (1982) and doctorate at Matematica from Instituto de Matematica e Estatistica (1990). (Source: Lattes Curriculum)
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This thematic project involves a Principal and a Co-Principal Investigator, from the Department of Mathematics of IME-USP (Institute of Mathematics and Statistics of the University of São Paulo), Host Institution of the project, and between six and eight associated researchers, from IME-USP, from ICMC-USP, and from the Institute of Science and Technology (ICT) of UNIFESP. Graduate student…
The thematic project involves one full professor, one associate professor, three assistant professors and one post-doc, four members of the group being associated to the Departamento de Matemático do IME-USP (Instituto de Matemática e Estatística da Universidade de São Paulo), main institution of the project, and two members associated to Instituto de Ciência e Tecnologia (ICT) UNIFESP. T…
We describe some research questions for a visit of Manuel Gonzalez to the Instituto de Matematica e Estatistica, Universidade de S~ao Paulo, to continue the collaboration with Eloi Medina Galego and Martha Liliana Cely Prieto. The collaboration involves two topics, the first one is concerned with subprojective and superprojective Banach spaces, and the second one with tauberian operators …
In this project we study tauberian operators from an abstract $L_1$-space $X$ into a Banach space $Y$. Our first objective is to obtain characterizations of these operators. Then for $X=Y$ we investigate the existence of operators of this kind with infinite dimensional kernel and/or closed range, and for $X=Y=L_1(G)$ (a convolution algebra) we try to show that every tauberian multiplier i…
(Only some records are available in English at this moment)
Let \(K\) be a locally compact Hausdorff space and let \(X\) be a Banach space. By \(C_0(K, X)\) we denote the Banach space of all \(X\)-valued continuous functions on \(K\) that vanish at infinity, equipped with the supremum norm. When \(K\) is compact, we write \(C(K, X)\). In this context, the spaces \(C(K)\), where \(X\) is the scalar field, play a central role in the theory of Bana…
Our goal is to study and extend results obtained by Saab-Saab, Cembranos-Mendoza and Khmyleva regarding complemented subspaces and isomorphisms in Banach spaces. Our main goal is to generalize the following result proved by Saab-Saab: Theorem 1: Let $K$ be a compact Hausdorff space and $X$ be a Banach space. Then $C(K.X)$ contains a complemented copy of $\ell_1$ if, and only if, $X$ conta…
The candidate will study two recent papers (2011) written by RafaB Górak, "Coarse version of the Banach-Stone theorem" and "Pertubations of isometries between Banach spaces".The first one presents an improvement of a result due to Y. Dutrieux and N. J. Kalton, similar to Banach-Stone theorem which includes bi-Lipschitz mappings. An abstract of this paper is as follows.Let $X$ be a compac…
This is a research project involving two areas of Mathematics, Analysis and Topology, whose the main objective is studying the Banach spaces $C_0(K, X)$. The research methods involves the study of the Geometry of Banach spaces, Measure Theory, Topology and Set Theory. In this project will be discussed some aspects of the isomorphic theory of the spaces $C_0 (K, X)$, seeking continuity…
(Only some records are available in English at this moment)
The scientific goal of the project is to contribute in several directions to the understanding of the Banach spaces of continuous functions and related structures. Although not foreseen in the original postdoctoral project, this internship abroad comply with it and is an excellent opportunity to further develop the research initially proposed. This project is intended to be supervised by …
| 1 / 1 | Ongoing grants |
| 9 / 6 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 6 / 4 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 18 / 13 | All research grants and scholarships |
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