ON THE WEAKLY PRECOMPACT AND UNCONDITIONALLY CONVERGING OPERATORS
Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 29-35
Voir la notice de l'article provenant de la source Cambridge
In this paper we present some results about $wV$ (weak property $V$ of Peł czyński) or property $wV^*$ (weak property $V^*$ of Peł czyński) in Banach spaces. We show that $E$ has property $wV$ if for any reflexive subspace $F$ of $E^*$, $^{\perp} {F}$ has property $wV$. It is shown that $G$ has property $wV$ if under some condition $K_{w^*}(E^*, F^*)$ contains the dual of $G$. Moreover, it is proved that $E^*$ contains a copy of $c_0$ if and only if $E$ contains a copy of $\ell_1$ where $E$ has property $wV^*$. Finally, the identity between $L(C(\Omega, E), F)$ and $WP(C(\Omega, E), F)$ is investigated.
ALIMOHAMMADY, MOHSEN; ROOHI, MEHDI. ON THE WEAKLY PRECOMPACT AND UNCONDITIONALLY CONVERGING OPERATORS. Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 29-35. doi: 10.1017/S0017089505002831
@article{10_1017_S0017089505002831,
author = {ALIMOHAMMADY, MOHSEN and ROOHI, MEHDI},
title = {ON {THE} {WEAKLY} {PRECOMPACT} {AND} {UNCONDITIONALLY} {CONVERGING} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {29--35},
year = {2006},
volume = {48},
number = {1},
doi = {10.1017/S0017089505002831},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002831/}
}
TY - JOUR AU - ALIMOHAMMADY, MOHSEN AU - ROOHI, MEHDI TI - ON THE WEAKLY PRECOMPACT AND UNCONDITIONALLY CONVERGING OPERATORS JO - Glasgow mathematical journal PY - 2006 SP - 29 EP - 35 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002831/ DO - 10.1017/S0017089505002831 ID - 10_1017_S0017089505002831 ER -
%0 Journal Article %A ALIMOHAMMADY, MOHSEN %A ROOHI, MEHDI %T ON THE WEAKLY PRECOMPACT AND UNCONDITIONALLY CONVERGING OPERATORS %J Glasgow mathematical journal %D 2006 %P 29-35 %V 48 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002831/ %R 10.1017/S0017089505002831 %F 10_1017_S0017089505002831
Cité par Sources :