Abstract
This project aims to study the basic properties of Lipschitz-free spaces and some results by G. Godefroy and N. J. Kalton characterizing the Bounded Approximation Property in terms of such spaces.
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Vinicius Morelli Cortes
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
graduation at Bacharelado em Matemática from Instituto de Matemática e Estatística (2011) and master's at Matemática from Instituto de Matemática e Estatística (2014). Has experience in Mathematics, focusing on Functional Analyses (Source: Lattes Curriculum)
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Scholarships in Brazil
- Lipschitz-free spaces and Approximation Properties, BP.IC
- Stability of subspaces, complemented subspaces and isomorphisms in Banach Spaces, BP.DR
Abstract
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…
- Copies of $c_{0}(\Gamma)$ in $C(K, X)$ spaces, BP.MS
Abstract
The candidate will study in detail a recent paper by his advisor that will be published in 2012 in Proc. Amer. Math. Soc. This paper suggests many lines of research associating Banach spaces to set theory. In two years, we will try to advance in the study of the geometry of the subspaces of $C(K, X)$ that are isomorphic to some $c_{0}(\gamma)$. Below is the abstract of this paper."We exte…
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| 3 / 3 | Completed scholarships in Brazil |
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