The Daugavet Equation for polynomials and holomorphic mappings
Extensions of holomorphic functions of bounded type on Banach Spaces
Spaces of holomorphic functions defined on Banach spaces and the Michael’s problem
| Grant number: | 12/01015-9 |
| Support Opportunities: | Regular Research Grants |
| Start date: | July 01, 2012 |
| End date: | September 30, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Mary Lilian Lourenco |
| Grantee: | Mary Lilian Lourenco |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Abstract
Our purpose is to study the polynomials and holomorphic functions in infinite dimensional Banach spaces with the natural interplay which this theory has with the geometry Banach spaces theory as well as Banach algebra. Using some techniques of distints mathematics areas, our main purpose is develope an unify theory with emphasis in the infinite dinensional theory. The problens which are proposing to investigate represent different aspects of the Funcional Analyisi and complex analysis in Bamach spaces and it involves inside of the purposed topic. (AU)
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