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| Author(s): |
Veronica Leão Neves
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2015-06-26 |
| Examining board members: |
Mary Lilian Lourenco;
Vinícius Vieira Fávaro;
Humberto Daniel Carrión Villarroel
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| Advisor: | Mary Lilian Lourenco |
| Abstract | |
The main purpose of this work is to study the alternative Dunford-Pettis property (DP1 property), as introduced by Freedman, and some characterizations of the DP1 property and relations of this to other properties. We studied a characterization of certain operator subspaces which have the DP1 property, as given by Acosta and Peralta in \\cite. We saw that a closed subspace of the compact operators space in a reflexive Banach space with Schauder basis has the DP1 property if, and only if, the evaluation operators are DP1 operators. We studied a similar result for Hilbert spaces. Consequently, we also saw a characterization of certain closed subalgebras of the compact operators algebra, in which the DP1 property is held by assuming that the right and left composition operators are DP1. Finally, we studied the proof given by Bunce and Peralta that the Dunford-Pettis property and the alternative Duford-Pettis property are equivalent for C*-algebras. (AU) | |
| FAPESP's process: | 13/00860-0 - Alternative Dunford-Pettis property |
| Grantee: | Veronica Leão Neves |
| Support Opportunities: | Scholarships in Brazil - Master |