On Banach spaces X such that L(Lp,X) = K(Lp,X).
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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Bombal, Fernando (1988)
Portugaliae mathematica
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Fernando Bombal Gordon (1987)
Extracta Mathematicae
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Joe Howard (1974)
Commentationes Mathematicae Universitatis Carolinae
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Jesús M. Fernández Castillo, Fernando Sánchez (1993)
Revista Matemática de la Universidad Complutense de Madrid
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Jesús M. Fernández Castillo (1990)
Extracta Mathematicae
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A sequence (x) in a Banach space X is said to be weakly-p-summable, 1 ≤ p < ∞, when for each x* ∈ X*, (x*x) ∈ l. We shall say that a sequence (x) is weakly-p-convergent if for some x ∈ X, (x - x) is weakly-p-summable.
Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
Manuel González, Joaquín M. Gutiérrez (1991)
Extracta Mathematicae
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We introduce and characterize the class P of polynomials between Banach spaces whose restrictions to Dunford-Pettis (DP) sets are weakly continuous. All the weakly compact and the scalar valued polynomials belong to P. We prove that a Banach space E has the Dunford-Pettis (DP) property if and only if every P ∈ P is weakly sequentially continuous. This result contains a characterization of the DP property given in [3], answering a question of Pelczynski: E has the DP property if and only...