The positive Schur property in Banach lattices.
José A. Sánchez H. (1992)
Extracta Mathematicae
Similarity:
José A. Sánchez H. (1992)
Extracta Mathematicae
Similarity:
Belmesnaoui Aqzzouz, Khalid Bouras (2011)
Czechoslovak Mathematical Journal
Similarity:
We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)
Mathematica Bohemica
Similarity:
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.
Belmesnaoui Aqzzouz, Jawad H'michane (2012)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
Giovanni Emmanuele (1988)
Extracta Mathematicae
Similarity:
Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
Similarity:
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|, ...
Fernando Bombal (1991)
Extracta Mathematicae
Similarity:
One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite dimension, if and only if every bounded subset is weakly relatively compact or norm relatively compact, respectively. On the other hand, Banach spaces of the type C(K) and Lp(μ) play a vital role in the general...