(Institute of Mathematics, Polish Academy of Sciences, 2001) Department of Mathematics; Ülger, Ali; Faculty Member; Department of Mathematics; College of Sciences
Let X be a Banach space. If the natural projection p : X∗∗∗ → 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.
