The weak Phillips property
Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 147-158
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
banach space natural projection *** rightarrow * sequentially weak * weak continuous space said have weak phillips property present several characterizations spaces having property study its relationships other banach space properties especially grothendieck property
Affiliations des auteurs :
Ali Ülger 1
@article{10_4064_cm87_2_1,
author = {Ali \"Ulger},
title = {The weak {Phillips} property},
journal = {Colloquium Mathematicum},
pages = {147--158},
publisher = {mathdoc},
volume = {87},
number = {2},
year = {2001},
doi = {10.4064/cm87-2-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm87-2-1/}
}
Ali Ülger. The weak Phillips property. Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 147-158. doi: 10.4064/cm87-2-1
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