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.