Basic sequences and reflexivity of Banach spaces
I. Singer (1962)
Studia Mathematica
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Displaying similar documents to “Banach spaces with a supershrinking basis”
Basic sequences and reflexivity of Banach spaces
On bases and unconditional convergence of series in Banach spaces
C. Bessaga, A. Pełczyński (1958)
Studia Mathematica
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A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing
E. Odell (1980)
Compositio Mathematica
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Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
A. Pełczyński (1971)
Studia Mathematica
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On Banach spaces X for which
Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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Separable quotients of Banach spaces.
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.
Classification, through coordinates, of M-bases in separable Banach spaces.
Esteban Induráin (1988)
Collectanea Mathematica
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Subspaces of which embed into
W. B. Johnson, E. Odell (1974)
Compositio Mathematica
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Uniqueness of unconditional bases of , 0 < p < 1
C. Leránoz (1992)
Studia Mathematica
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We prove that if 0 < p < 1 then a normalized unconditional basis of a complemented subspace of must be equivalent to a permutation of a subset of the canonical unit vector basis of . In particular, has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for .
On bounded biorthogonal systems in some function spaces
A. Pličko (1986)
Studia Mathematica
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