Three non-linear problems on normed spaces

  1. García Pacheco, Francisco Javier
Zuzendaria:
  1. Richard M. Aron Zuzendaria

Defentsa unibertsitatea: Kent State University

Fecha de defensa: 2007(e)ko abuztua-(a)k 18

Epaimahaia:
  1. Per H. Enflo Kidea
  2. Andrew Tonge Kidea

Mota: Tesia

DIALNET

Laburpena

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.