Bases in the spaces and
S. J. Szarek (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Displaying similar documents to “On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for ”
Bases in the spaces and
A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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A Banach space with a symmetric basis which contains no or , and all its symmetric basic sequences are equivalent
Z. Altshuler (1977)
Compositio Mathematica
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A construction of basis in
Z. Ciesielski (1969)
Studia Mathematica
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On bases and unconditional bases in the spaces ,1≤p<∞
K. Kazarian (1982)
Studia Mathematica
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On the existence of distinguished bases in a -space
Kung-Wei Yang (1971)
Compositio Mathematica
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Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
Uniqueness of some unconditional bases II
J. Lindenstrauss (1980-1981)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Characterising subspaces of Banach spaces with a Schauder basis having the shift property
Christian Rosendal (2011)
Studia Mathematica
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We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.
On shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
Studia Mathematica
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