On some parameters associated with normed lattices and on series characterization of M-spaces
Y. Abramovič, E. Positselskiĭ, L. Yanovskiĭ (1978)
Studia Mathematica
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Y. Abramovič, E. Positselskiĭ, L. Yanovskiĭ (1978)
Studia Mathematica
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Beatriz Porras Pomares (1986)
Extracta Mathematicae
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Belmesnaoui Aqzzouz, Redouane Nouira (2009)
Czechoslovak Mathematical Journal
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We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice into a Banach lattice is an order -complete vector lattice.
Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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A. El Kaddouri, Mohammed Moussa (2013)
Acta Universitatis Carolinae. Mathematica et Physica
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We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.
J. Szulga (1979)
Colloquium Mathematicae
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Mezrag, Lahcène (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46B28, 47D15. In this paper we introduce and study the lp-lattice summing operators in the category of operator spaces which are the analogous of p-lattice summing operators in the commutative case. We study some interesting characterizations of this type of operators which generalize the results of Nielsen and Szulga and we show that Λ l∞( B(H) ,OH) ≠ Λ l2( B( H) ,OH), in opposition to the commutative case.