RECORD DETAIL


Back To Previous

UPA Perpustakaan Universitas Jember

C*-ALGEBRAS HAVE A QUANTITATIVE VERSION OF PE LCZYNSKI’S PROPERTY (V)

No image available for this title
A Banach space X has Pe lczy´nski’s property (V) if for every Banach space
Y every unconditionally converging operator T : X → Y is weakly compact. H.Pfitzner
proved that C∗-algebras have Pe lczy´nski’s property (V). In the preprint (Kruliˇsov´a, (2015))
the author explores possible quantifications of the property (V) and shows that C(K) spaces
for a compact Hausdorff space K enjoy a quantitative version of the property (V). In this
paper we generalize this result by quantifying Pfitzner’s theorem. Moreover, we prove that
in dual Banach spaces a quantitative version of the property (V) implies a quantitative
version of the Grothendieck property.

No copy data
Detail Information

Series Title

-

Call Number

-

Publisher

: ,

Collation

-

Language

ISBN/ISSN

-

Classification

NONE

Detail Information

Content Type

-

Media Type

-

Carrier Type

-

Edition

-

Specific Detail Info

-

Statement of Responsibility

No other version available