Integral extension procedures in weakly σ-complete lattice-ordered groups, II
M. Wilhelm (1988)
Studia Mathematica
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M. Wilhelm (1988)
Studia Mathematica
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J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).
Mršević, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
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Belmesnaoui Aqzzouz, Jawad Hmichane (2009)
Mathematica Bohemica
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We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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T. Leżański (1956)
Studia Mathematica
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Charles Dunkl, Donald Ramirez (1973)
Studia Mathematica
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Walden Freedman (1997)
Studia Mathematica
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An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that -direct sums of spaces with DP1 have DP1 if 1 ≤ p < ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.