Some characterizations of Banach lattices with the Schur property.

Título inglés	Some characterizations of Banach lattices with the Schur property.
Título español	Algunas caracterizaciones de retículos de Banach con la propiedad de Schur.
Autor/es	Wnuk, Witold
Organización	Inst. Math. Tech. Univ. Poznan, Poznan, Polonia
Revista	0214-3577
Publicación	1989, 2 (SUPL.): 217-224, 15 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	This note contains a short proof of the equivalence of the Schur and Dunford-Pettis properties in the class of discrete KB-spaces. We also present an operator characterization of the Schur property (Theorem 2) and we notice that Banach lattices which band hereditary l1 coincide with Banach lattices having the Schur property. (This characterization is due to Popa (1977)). Moreover, the paper offers examples of Banach lattices with the positive Schur property and without the Schur property and which are not isomorphic to any AL-space
Clasificación UNESCO	120225
Palabras clave español	Estructuras reticulares
Código MathReviews	MR1057221
Código Z-Math	Zbl 0717.46018
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