Banach spaces all of whose subspaces have the approximation property
W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Displaying similar documents to “Interpolation in a Banach space”
Banach spaces all of whose subspaces have the approximation property
Quotients of Banach Spaces with the Daugavet Property
Vladimir Kadets, Varvara Shepelska, Dirk Werner (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider a general concept of Daugavet property with respect to a norming subspace. This concept covers both the usual Daugavet property and its weak* analogue. We introduce and study analogues of narrow operators and rich subspaces in this general setting and apply the results to show that a quotient of L₁[0,1] by an ℓ₁-subspace need not have the Daugavet property. The latter answers in the negative a question posed to us by A. Pełczyński.
Factorization of compact operators and finite representability of Banach spaces with applications to Schwartz spaces
Steven Bellenot (1978)
Studia Mathematica
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Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace
M. Ostrovskiĭ (1993)
Studia Mathematica
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The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.
Some linear topological properties of the hardy spaces
S. Kwapień, A. Pelczyński (1976)
Compositio Mathematica
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On property in -spaces
Józef Burzyk, Andrzej Kamiński (1999)
Mathematica Slovaca
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Proper subspaces and compatibility
Esteban Andruchow, Eduardo Chiumiento, María Eugenia Di Iorio y Lucero (2015)
Studia Mathematica
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Let 𝓔 be a Banach space contained in a Hilbert space 𝓛. Assume that the inclusion is continuous with dense range. Following the terminology of Gohberg and Zambickiĭ, we say that a bounded operator on 𝓔 is a proper operator if it admits an adjoint with respect to the inner product of 𝓛. A proper operator which is self-adjoint with respect to the inner product of 𝓛 is called symmetrizable. By a proper subspace 𝓢 we mean a closed subspace of 𝓔 which is the range of a proper projection....
On differential subspaces of Cartesian space
W. Waliszewski (1981)
Colloquium Mathematicae
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On some subspaces of the Helly space
W. F. Pfeffer (1976)
Colloquium Mathematicae
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