Basic sequences and smooth norms in Banach spaces
Catherine Finet (1988)
Studia Mathematica
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Catherine Finet (1988)
Studia Mathematica
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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.
C. Finet, W. Schachermayer (1989)
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.
V. Montesinos (1985)
Studia Mathematica
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V. Montesinos, J. R. Torregrosa (1991)
Collectanea Mathematica
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In this paper we prove that the geometrical notions of Rotundity and Uniform Rotundity of the norm in a Banach space are stable for the generalized Banach products.
Jorge Mújica (1997)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
Józef Banas, Kishin Sadarangani (1995)
Collectanea Mathematica
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The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Patrick N. Dowling (2000)
Collectanea Mathematica
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We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.
M. Kadec (1971)
Studia Mathematica
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