The positive Schur property in Banach lattices.
José A. Sánchez H. (1992)
Extracta Mathematicae
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Displaying similar documents to “Some characterizations of Banach lattices with the Schur property.”
The positive Schur property in Banach lattices.
Some characterizations of weakly compact operator on Banach lattices
Belmesnaoui Aqzzouz, Khalid Bouras (2011)
Czechoslovak Mathematical Journal
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We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
On the equality between some classes of operators on Banach lattices
Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)
Mathematica Bohemica
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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.
AM-Compactness of some classes of operators
Belmesnaoui Aqzzouz, Jawad H'michane (2012)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
On Banach spaces containing complemented copies of C0
Giovanni Emmanuele (1988)
Extracta Mathematicae
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An approach to Schreier's space.
Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...