On the class of positive disjoint weak -convergent operators
Mathematica Bohemica (2024)
- Volume: 149, Issue: 3, page 409-418
- ISSN: 0862-7959
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topRetbi, Abderrahman. "On the class of positive disjoint weak $p$-convergent operators." Mathematica Bohemica 149.3 (2024): 409-418. <http://eudml.org/doc/299343>.
@article{Retbi2024,
abstract = {We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak $p$-convergent operators. Next, we examine the relationship between disjoint weak $p$-convergent operators and disjoint $p$-convergent operators. Finally, we characterize order bounded disjoint weak $p$-convergent operators in terms of sequences in Banach lattices.},
author = {Retbi, Abderrahman},
journal = {Mathematica Bohemica},
keywords = {$p$-convergent operator; disjoint $p$-convergent operator; positive Schur property of order $p$; order continuous norm; Banach lattice},
language = {eng},
number = {3},
pages = {409-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the class of positive disjoint weak $p$-convergent operators},
url = {http://eudml.org/doc/299343},
volume = {149},
year = {2024},
}
TY - JOUR
AU - Retbi, Abderrahman
TI - On the class of positive disjoint weak $p$-convergent operators
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 3
SP - 409
EP - 418
AB - We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak $p$-convergent operators. Next, we examine the relationship between disjoint weak $p$-convergent operators and disjoint $p$-convergent operators. Finally, we characterize order bounded disjoint weak $p$-convergent operators in terms of sequences in Banach lattices.
LA - eng
KW - $p$-convergent operator; disjoint $p$-convergent operator; positive Schur property of order $p$; order continuous norm; Banach lattice
UR - http://eudml.org/doc/299343
ER -
References
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