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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-1,
author = {Ali \"Ulger},
title = {The weak Phillips property},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {147-158},
zbl = {0992.46012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-1}
}
Ali Ülger. The weak Phillips property. Colloquium Mathematicae, Tome 89 (2001) pp. 147-158. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-1/