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Start Over Subject discrete Banach lattice

1. On the equality between some classes of operators on Banach lattices

Creator:
Aqzzouz, Belmesnaoui, Elbour, Aziz, and Moussa, Mohammed
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
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, and positive Schur property
Language:
English
Description:
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Some characterizations of order weakly compact operator

Creator:
Aqzzouz, Belmesnaoui and Elbour, Aziz
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
order weakly compact operator, order continuous norm, discrete Banach lattice, and weakly sequentially continuous lattice operations
Language:
English
Description:
We introduce the notion of order weakly sequentially continuous lattice operations of a Banach lattice, use it to generalize a result regarding the characterization of order weakly compact operators, and establish its converse. Also, we derive some interesting consequences.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public