Three non-linear problems on normed spaces

  1. García Pacheco, Francisco Javier
Dirigida por:
  1. Richard M. Aron Director/a

Universidad de defensa: Kent State University

Fecha de defensa: 18 de agosto de 2007

Tribunal:
  1. Per H. Enflo Vocal
  2. Andrew Tonge Vocal

Tipo: Tesis

DIALNET

Resumen

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.