On the equality between some classes of operators on Banach lattices

Belmesnaoui Aqzzouz; Aziz Elbour; Mohammed Moussa

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 3, page 347-354
  • ISSN: 0862-7959

Abstract

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We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.

How to cite

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Aqzzouz, Belmesnaoui, Elbour, Aziz, and Moussa, Mohammed. "On the equality between some classes of operators on Banach lattices." Mathematica Bohemica 137.3 (2012): 347-354. <http://eudml.org/doc/246969>.

@article{Aqzzouz2012,
abstract = {We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.},
author = {Aqzzouz, Belmesnaoui, Elbour, Aziz, Moussa, Mohammed},
journal = {Mathematica Bohemica},
keywords = {M-weakly compact operator; L-weakly compact operator; Dunford-Pettis operator; weakly compact operator; semi-compact operator; compact operator; order continuous norm; discrete Banach lattice; positive Schur property; -weakly compact operator; -weakly compact operator; Dunford-Pettis operator},
language = {eng},
number = {3},
pages = {347-354},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the equality between some classes of operators on Banach lattices},
url = {http://eudml.org/doc/246969},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Elbour, Aziz
AU - Moussa, Mohammed
TI - On the equality between some classes of operators on Banach lattices
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 3
SP - 347
EP - 354
AB - We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
LA - eng
KW - M-weakly compact operator; L-weakly compact operator; Dunford-Pettis operator; weakly compact operator; semi-compact operator; compact operator; order continuous norm; discrete Banach lattice; positive Schur property; -weakly compact operator; -weakly compact operator; Dunford-Pettis operator
UR - http://eudml.org/doc/246969
ER -

References

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