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Grant IAA100190502     1.1.2005 - 31.12.2007
Grantor: Grant Agency of Czech Academy of Sciences

The structure of Banach spaces

The aim of the project is to contribute to the solution of some of the fundamental question regarding the structure of Banach spaces. In the contextof separable spaces it is especially the containment of copies of cO into quotients of polyhedral spaces. The question on the existence of smooth separating functions on asplund spaces. Problems of the density of smooth renormings and the existence of lipschitz retractions for certain C(K)spaces. The boundary problem, ie. generalization of Rainwaters theorem to the case of arbitrary boundary and dropping the sequentiality assumption. Structure of biorthogonal systems and Markushevich basas in nonseparable Banach spaces.

 Main investigator:

Hájek Petr

 IM team members:  
Fabian Marián
Zizler Václav