A note on isomorphisms between powers of Banach spaces.
J. C. Díaz (1987)
Collectanea Mathematica
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Displaying similar documents to “On incomparability of Banach spaces.”
A note on isomorphisms between powers of Banach spaces.
On essentially incomparable Banach spaces.
Manuel González (1991)
Extracta Mathematicae
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We introduce the concept of essentially incomparable Banach spaces, and give some examples. Then, for two essentially incomparable Banach spaces X and Y, we prove that a complemented subspace of the product X x Y is isomorphic to the product of a complemented subspace of X and a complemented subspace of Y. If, additionally, X and Y are isomorphic to their respective hyperplanes, then the group of invertible operators in X x Y is not connected. The results can be applied to some classical...
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M. Kadec (1971)
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Some open problems in Banach space theory
Joram Lindenstrauss (1975-1976)
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On Incomparability of Banach Spaces.
Manuel González, Victor M. Onieva (1986)
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Containing l or c and best approximation.
Juan Carlos Cabello Piñar (1990)
Collectanea Mathematica
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The purpose of this paper is to obtain sufficient conditions, for a Banach space X to contain or exclude c0 or l1, in terms of the sets of best approximants in X for the elements in the bidual space.
Reflexive Banach space and fixed point theorems.
M.R. Taskovic (1976)
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A Fixed Point Theorem in Reflexive Banach Spaces
Ljubomir Ćirić (1984)
Publications de l'Institut Mathématique
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An amalgamation of the Banach spaces associated with James and Schreier, Part I: Banach-space structure
Alistair Bird, Niels Jakob Laustsen (2010)
Banach Center Publications
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We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property on the other. We then investigate the properties of these James-Schreier spaces, paying particular attention to how key properties of their 'ancestors' (that is, the James space and the Schreier space) are expressed in them. Our main...