On the class of positive almost weak ☆ Dunford-Pettis operators

Abderrahman Retbi

Commentationes Mathematicae Universitatis Carolinae (2015)

  • Volume: 56, Issue: 3, page 347-354
  • ISSN: 0010-2628

Abstract

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In this paper, we introduce and study the class of almost weak ☆ Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP ☆ property. Next, we characterize pairs of Banach lattices for which each positive almost weak ☆ Dunford-Pettis operator is almost Dunford-Pettis.

How to cite

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Retbi, Abderrahman. "On the class of positive almost weak$^{\star }$ Dunford-Pettis operators." Commentationes Mathematicae Universitatis Carolinae 56.3 (2015): 347-354. <http://eudml.org/doc/271662>.

@article{Retbi2015,
abstract = {In this paper, we introduce and study the class of almost weak$^\{\star \}$ Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP$^\{\star \}$ property. Next, we characterize pairs of Banach lattices for which each positive almost weak$^\{\star \}$ Dunford-Pettis operator is almost Dunford-Pettis.},
author = {Retbi, Abderrahman},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {almost weak$^\{\star \}$ Dunford-Pettis operator; almost Dunford-Pettis operator; weak Dunford-Pettis$^\{\star \}$ property; positive Schur property; order continuous norm},
language = {eng},
number = {3},
pages = {347-354},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the class of positive almost weak$^\{\star \}$ Dunford-Pettis operators},
url = {http://eudml.org/doc/271662},
volume = {56},
year = {2015},
}

TY - JOUR
AU - Retbi, Abderrahman
TI - On the class of positive almost weak$^{\star }$ Dunford-Pettis operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 3
SP - 347
EP - 354
AB - In this paper, we introduce and study the class of almost weak$^{\star }$ Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP$^{\star }$ property. Next, we characterize pairs of Banach lattices for which each positive almost weak$^{\star }$ Dunford-Pettis operator is almost Dunford-Pettis.
LA - eng
KW - almost weak$^{\star }$ Dunford-Pettis operator; almost Dunford-Pettis operator; weak Dunford-Pettis$^{\star }$ property; positive Schur property; order continuous norm
UR - http://eudml.org/doc/271662
ER -

References

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