Some properties of positive weak Dunford-Pettis operators on Banach lattices

• Autorzy: Aqzzouz B. , Bourass K.
• Języki publikacji: EN

Abstrakty

EN

We characterize Banach lattices for which each positive weak Dunford-Pettis operator is weakly compact. As consequences, we obtain some interesting results on reflexive Banach lattices.

Słowa kluczowe

EN

weak Dunford-Pettis operator; reflexive space; KB space

PL

operator Dunford-Pettis; przestrzeń refleksywna; przestrzeń KB

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 4
• Strony: 817--823
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Aqzzouz B.

autor

Bourass K.

• Universite Mohammed V-Soussi Faculte des Sciences Economiques Juridiques et Sociales Department D'economie B.P. 5295, Salaeljadida, Morocco,

Bibliografia

• [1] C. D. Aliprantis, O. Burkinshaw, Positive operators, Reprint of the 1985 original. Springer, Dordrecht, 2006.
• [2] N. J. Kalton, P. Saab, Ideal properties of regular operators between Banach lattices, Illinois J. Math. Vol. 29, 3 (1985), 382-400.
• [3] H. H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, Berlin and New York, 1974.
• [4] A. W. Wickstead, Converses for the Dodds-Fremlin and Kalton-Saab theorems, Math. Proc. Cambidge Philos. Soc. 120 (1996), 175-179.
• [5] W.Wnuk, Some characterizations of Banach lattices with the Schur property, Congress on Functional Analysis (Madrid, 1988). Rev. Mat. Univ. Complut. Madrid 2 (1989), suppl., 217-224.