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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Displaying similar documents to “Separable quotients of Banach spaces.”
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
Basic sequences and smooth norms in Banach spaces
Catherine Finet (1988)
Studia Mathematica
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Some properties of basic sequences in Banach spaces.
Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Effective constructions of separable quotients of Banach spaces.
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.
Banach spaces with a supershrinking basis
Ginés López (1999)
Studia Mathematica
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We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) without copies is somewhat reflexive (every infinite-dimensional subspace contains an infinite-dimensional reflexive subspace). Furthermore, applying the -theorem by Rosenthal, it is proved that X contains order-one quasireflexive subspaces if X is not reflexive. Also, we obtain a characterization of the usual basis in .
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
A. Pełczyński, P. Wojtaszczyk (1971)
Studia Mathematica
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Answer to a question by M. Feder about K(X,Y).
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.
Absolutely summing operators in -spaces and their applications
J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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Projections on Banach spaces with symmetric bases
P. Casazza, Bor Lin (1974)
Studia Mathematica
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A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces
G. Androulakis (1998)
Studia Mathematica
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Let (x_n) be a sequence in a Banach space X which does not converge in norm, and let E be an isomorphically precisely norming set for X such that (*) ∑_n |x*(x_{n+1} - x_n)| < ∞, ∀x* ∈ E. Then there exists a subsequence of (x_n) which spans an isomorphically polyhedral Banach space. It follows immediately from results of V. Fonf that the converse is also true: If Y is a separable isomorphically polyhedral Banach space then there exists a normalized M-basis (x_n) which spans Y and...