Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A survey on Lipschitz-free Banach spaces

Godefroy G.

Commentationes Mathematicae

2015

Vol 55, No. 2

89--118

This article is a survey of Lipschitz-free Banach spaces and recent progress in the understanding of their structure.Fe results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self-contained presentation of the basic properties of Lipschitz-free Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, norm-attainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.

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.