Abstract
The aim of this project is to integrate research groups at UNICAMP and USP whose lines of research are closely connected, either by problems of common interest or by similar or complementary methods... (AU)
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Jorge Tulio Mujica Ascui
CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Chile
bachelor's at Licenciatura Em Matemática from Universidad Católica de Chile (1969) and doctorate at Ph D In Mathematics from University of Rochester (1975). , acting on the following subjects: holomorphic function, banach space, fréchet space, schauder basis and holomorphic germ. (Source: Lattes Curriculum)
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Research grants
Scholarships in Brazil
- Spaces of holomorphic functions defined on Banach spaces and the Michael’s problem, BP.PD
Abstract
This project is inserted in the area of functional analysis, and it is turned to the study of homomorphy and algebra of functions, as we describe below: (I) we intend to contribute meaningfully for the study of convolution equations, operators on spaces of entire functions defined between Banach spaces, mainly in two senses. First, we will seek new existence and approximation results for …
- The Daugavet Equation for polynomials and holomorphic mappings, BP.DR
Abstract
The equation ||I + T|| = 1 + ||T||, where T is an operator on a Banach space, is called Daugavet equation. Although this is a purely isometric property, it can be used to obtain some topological conclusions regarding Banach spaces.The Daugavet equation has been studied by many authors in various contexts along the 45 last years. Recently Y. S. Choi, D. García, M. Maestre and M. Martín stu…
- Combinatorial aspects of nonseparable Banach spaces structure, BP.PD
Abstract
The purpose of this post-doctoral project is to continue the research done during the Ph.D. on renormings of nonseparable C(K) Banach spaces. To solve problems of the structure theory of Banach spaces, we use combinatorial methods such as forcing and transfinite induction, as well as combinatorial principles such as the continuum hypothesis. We are specially interested in Asplund spaces, …
Total / Available in English
| 1 / 1 | Completed research grants |
| 9 / 3 | Completed scholarships in Brazil |
| 10 / 4 | All research grants and scholarships |
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