Almost Weakly Compact Operators

Ioana Ghenciu, and Paul Lewis. "Almost Weakly Compact Operators." Bulletin of the Polish Academy of Sciences. Mathematics 54.3 (2006): 237-256. <http://eudml.org/doc/280825>.

@article{IoanaGhenciu2006,
abstract = {Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.},
author = {Ioana Ghenciu, Paul Lewis},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Dunford-Pettis property; Dunford-Pettis sets; limited sets; -sets; - continuity; almost weakly compact operator},
language = {eng},
number = {3},
pages = {237-256},
title = {Almost Weakly Compact Operators},
url = {http://eudml.org/doc/280825},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Ioana Ghenciu
AU - Paul Lewis
TI - Almost Weakly Compact Operators
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 3
SP - 237
EP - 256
AB - Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.
LA - eng
KW - Dunford-Pettis property; Dunford-Pettis sets; limited sets; -sets; - continuity; almost weakly compact operator
UR - http://eudml.org/doc/280825
ER -