Semi-compactness of Almost Dunford-Pettis operators on Banach lattices

• Autorzy: Aqzzouz B. , Elbour A.
• Języki publikacji: EN

Abstrakty

EN

We study the semi-compactness of positive Almost Dunford–Pettis (resp. the square of positive Almost Dunford–Pettis) operators on Banach lattices and we give some consequences.

Słowa kluczowe

EN

semi-compact operator; almost Dunford-Pettis operator; Dunford-Pettis operator; order continuous norm

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 1
• Strony: 131--141
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Aqzzouz B.

• Université Mohammed V-Souissi Faculté des Sciences Economiques Juridiques et Sociales Département d'economie, B.P. 5295 Salaaljadida, Morocco

autor

Elbour A.

• Université Ibn Tofail Faculté des Sciences Département de Mathématiques B.P. 133, Kénitra, Morocco

Bibliografia

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• [3] W. A. J. Luxemburg, A. C. Zaanen, Riesz Spaces, I, North-Holland, Amsterdam, 1971.
• [4] P. Meyer–Nieberg, Banach Lattices, Universitext, Springer-Verlag, Berlin, 1991.
• [5] A. R. Schep, M. Wolff, Semicompact operators, Indag. Math. (N.S.) 1 (1990), 115–125.
• [6] W. Wnuk, A note on the positive Schur property, Glasgow Math. J. 31 (1989), 169–172.
• [7] W. Wnuk, Banach lattices with the weak Dunford–Pettis property, Atti Sem. Mat. Fis. Univ. Modena 42 (1994), 227–236.
• [8] W. Wnuk, Banach Lattices with Order Continuous Norms, Polish Scientific Publishers, Warsaw 1999.
• [9] A. C. Zaanen, Riesz Spaces II, North Holland Publishing Company 1983.