A note on isomorphisms between powers of Banach spaces.
J. C. Díaz (1987)
Collectanea Mathematica
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Displaying similar documents to “Incomparable, non-isomorphic and minimal Banach spaces”
A note on isomorphisms between powers of Banach spaces.
On unconditionally saturated Banach spaces
Pandelis Dodos, Jordi Lopez-Abad (2008)
Studia Mathematica
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We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.
Approximation properties and universal Banach spaces
Przemyslaw Wojtaszczyk (1972)
Mémoires de la Société Mathématique de France
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Some open problems in Banach space theory
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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On non-isomorphism of Banach spaces of holomorphic functions
G. Henkin (1970)
Studia Mathematica
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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...
Some applications of p-summing operators to Banach space theory
Haskell Rosenthal (1976)
Studia Mathematica
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On complementably universal Banach spaces
M. Kadec (1971)
Studia Mathematica
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Some results on Banach spaces without local unconditional structure
Gilles Pisier (1978)
Compositio Mathematica
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Types of tightness in spaces with unconditional basis
Antonis Manoussakis, Anna Pelczar-Barwacz (2014)
Studia Mathematica
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We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal's list related to Gowers' classification program of Banach spaces, but in contrast to the recently constructed space of type (4), our space is also tight with constants, thus essentially extending the list of known examples in Gowers' program. The space is defined on the basis of a boundedly modified mixed Tsirelson space with the use of a special...
Quotients of Banach spaces and surjectively universal spaces
Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.