Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)
Daniel Li (1990)
Studia Mathematica
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Daniel Li (1990)
Studia Mathematica
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Albrecht Pietsch (1990)
Studia Mathematica
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E. A. Sánchez Pérez (2000)
Extracta Mathematicae
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Andreas Defant (1990)
Studia Mathematica
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G. Emmanuele (1993)
Revista Matemática de la Universidad Complutense de Madrid
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We show that a Banach space constructed by Bourgain-Delbaen in 1980 answers a question put by Feder in 1982 about spaces of compact operators.
Marek Wójtowicz (1997)
Collectanea Mathematica
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A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.
Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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Gilles Godefroy, D. Li (1989)
Annales de l'institut Fourier
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We show that every Banach space which is an -ideal in its bidual has the property of Pelczynski. Several consequences are mentioned.
Eve Oja, Märt Põldvere (1996)
Studia Mathematica
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Let X be a Banach space and Y a closed subspace. We obtain simple geometric characterizations of Phelps' property U for Y in X (that every continuous linear functional g ∈ Y* has a unique norm-preserving extension f ∈ X*), which do not use the dual space X*. This enables us to give an intrinsic geometric characterization of preduals of strictly convex spaces close to the Beauzamy-Maurey-Lima-Uttersrud criterion of smoothness. This also enables us to prove that the U-property of the subspace...