Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physical Sciences and Mathematics
The Phillips Properties, Walden Freedman, Ali Ülger
The Phillips Properties, Walden Freedman, Ali Ülger
Walden Freedman
A Banach space 
has the Phillips property if the canonical projection 
is sequentially weak
-norm continuous, and has the weak Phillips property if 
is sequentially weak
-weak continuous. We study both properties in connection with other geometric properties, such as the Dunford-Pettis property, Pelczynski's properties 
and (V), and the Schur property.
has the Phillips property if the canonical projection is sequentially weak-norm continuous, and has the weak Phillips property if is sequentially weak-weak continuous. We study both properties in connection with other geometric properties, such as the Dunford-Pettis property, Pelczynski's properties and (V), and the Schur property.