Sobczyk's theorems from A to B.

Félix Cabello Sánchez; Jesús M. Fernández Castillo; David Yost

Displaying similar documents to “Sobczyk's theorems from A to B.”

Complemented and uncomplemented subspaces of Banach spaces.

Anatolij M. Plichko, David Yost (2000)

Extracta Mathematicae

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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.

The Johnson-Lindenstrauss space.

David Yost (1997)

Extracta Mathematicae

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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 properties of basic sequences in Banach spaces.

Manuel Valdivia (1997)

Revista Matemática de la Universidad Complutense de Madrid

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The dual of every Asplund space admits a projectional resolution of the identity

Marián Fabian, Gilles Godefroy (1988)

Studia Mathematica

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On prequojections and their duals.

M. I. Ostrovskii (1998)

Revista Matemática Complutense

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The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce...

Primariness of some spaces of continuous functions.

Lech Drewnowski (1989)

Revista Matemática de la Universidad Complutense de Madrid

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Extension of operators from weak*-closed sub-spaces of $l_{1}$ into C(K) spaces

W. Johnson, M. Zippin (1995)

Studia Mathematica

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It is proved that every operator from a weak*-closed subspace of $ℓ_{1}$ into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from $ℓ_{1}$ to C(K).

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.

The problem of complementability for some spaces of vector measures of bounded variation with values in Banach spaces containing copies of $c_{0}$

L. Drewnowski, G. Emmanuele (1993)

Studia Mathematica

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Let (S, ∑, m) be any atomless finite measure space, and X any Banach space containing a copy of $c_{0}$ . Then the Bochner space $L^{1} (m; X)$ is uncomplemented in ccabv(∑,m;X), the Banach space of all m-continuous vector measures that are of bounded variation and have a relatively compact range; and ccabv(∑,m;X) is uncomplemented in cabv(∑,m;X). It is conjectured that this should generalize to all Banach spaces X without the Radon-Nikodym property.