Three non-linear problems on normed spaces

Autores: Francisco Javier García Pacheco
Directores de la Tesis: Richard M. Aron (dir. tes.)
Lectura: En la Kent State University ( Estados Unidos ) en 2007
Idioma: inglés
Número de páginas: 71
Tribunal Calificador de la Tesis: Andrew Tonge (voc.) , Per H. Enflo (voc.)
Enlaces
- Tesis en acceso abierto en: etd.ohiolink.edu
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.