The weak Phillips property
Volume 87 / 2001
Colloquium Mathematicum 87 (2001), 147-158
MSC: Primary 46B20, 46B03; Secondary 46L05, 46J10.
DOI: 10.4064/cm87-2-1
Abstract
Let $X$ be a Banach space. If the natural projection $p:X^{***}\rightarrow X^{*}$ is sequentially weak$^{*}$-weak continuous then the space $X$ is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.
