THREE NON-LINEAR PROBLEMS ON NORMED SPACES

Autor: Garcia, Francisco Javier
Jazyk: angličtina
Rok vydání: 2007
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Druh dokumentu: Text
Popis: In this dissertation, we will study the following three non-linear problems: 1. The lineability problem for functionals. 2. The minimum-norm problem for translations. 3. The Banach-Mazur conjecture for rotations. As far as we know, all of them are currently open, and we believe that any approach to their solutions will constitute a work of great interest to the mathematical community. In this dissertation, we obtain progresses that lead to partial solutions of these problems.
Databáze: Networked Digital Library of Theses & Dissertations