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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.
IM leaders:
Participating institutions:
Institute of Mathematics, AS CR
IM team members:
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Fabian Marián |
Zizler Václav |
