Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Corson and Valdivia compacts

Sortuj według:

Ogranicz wyniki do:

A note on Asplund generated Banach spaces

Fabian M., Godefroy G., Zizler V.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 3

221-230

Assume that a Banach space X has density character Aleph[1] and that there is an Asplund space Y and a bounded linear operator T from Y onto a dense set in X. We show that such Y then can be chosen a reflexive space provided that X admits a projectional resolution of identity in each equivalent norm on X. We prove that the dual unit ball B[x*] in its weak star topology is a Corson compact provided that the norm of X is Gateaux differentiable and B[x*] is a Valdivia compact.