The group is working on:
1.- The Separable Quotient Problem, open problem that states wether a infinite dimensional Banach space admits a Separable Infinite Dimensional Quotient. It is well known that small Banach spaces, I mean with denseness less than the bounding cardinal, as well as the big Banach spaces in the sense of Todorcevic, have separable quotient. Our aim is to get new characterizations of the separable quotient problem and to apply these characterizations to Banach Spaces with denseness between the bounding cardinal and the continuum cardinal, as well as to apply the new obtained characterizations to proof rapididly the existence of Separable quotient problem, in known cases like in the case of WCG spaces.
Head of the Group | |
López Pellicer, Manuel | mlopezpe@mat.upv.es |
External Collaborators | University |
Kakol, Jerzy | Adam Mikiewicz University, Polonia |
Ferrando Pérez, Juan Carlos | Universidad Miguel Hernández de Elche |
Research lines