M-weak and L-weak compactness of b-weakly compact operators

J. H'Michane; A. El Kaddouri; K. Bouras; M. Moussa

Commentationes Mathematicae Universitatis Carolinae (2013)

  • Volume: 54, Issue: 3, page 367-375
  • ISSN: 0010-2628

Abstract

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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).

How to cite

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H'Michane, J., et al. "M-weak and L-weak compactness of b-weakly compact operators." Commentationes Mathematicae Universitatis Carolinae 54.3 (2013): 367-375. <http://eudml.org/doc/260619>.

@article{HMichane2013,
abstract = {We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).},
author = {H'Michane, J., El Kaddouri, A., Bouras, K., Moussa, M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {b-weakly compact operator; b-AM-compact operator; strong type (B) operator; order continuous norm; positive Schur property; -weakly compact operator; -AM-compact operator; strong type (B) operator; order continuous norm; positive Schur property},
language = {eng},
number = {3},
pages = {367-375},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {M-weak and L-weak compactness of b-weakly compact operators},
url = {http://eudml.org/doc/260619},
volume = {54},
year = {2013},
}

TY - JOUR
AU - H'Michane, J.
AU - El Kaddouri, A.
AU - Bouras, K.
AU - Moussa, M.
TI - M-weak and L-weak compactness of b-weakly compact operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2013
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 3
SP - 367
EP - 375
AB - We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).
LA - eng
KW - b-weakly compact operator; b-AM-compact operator; strong type (B) operator; order continuous norm; positive Schur property; -weakly compact operator; -AM-compact operator; strong type (B) operator; order continuous norm; positive Schur property
UR - http://eudml.org/doc/260619
ER -

References

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