Quasi-complements in F-spaces
L. Drewnowski (1984)
Studia Mathematica
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Displaying similar documents to “A certain subspace of characteristic zero of ”
Quasi-complements in F-spaces
Some properties of basic sequences in Banach spaces.
Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The controlled separable projection property for Banach spaces
Jesús Ferrer, Marek Wójtowicz (2011)
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Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a)...
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.
König-Witstock quasi-norms on quasi-Banach spaces.
Jesús M. Fernández Castillo, Yolanda Moreno (2002)
Extracta Mathematicae
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On Banach spaces in which every M-basis is a generalized summation basis
Ivan Singer (1979)
Banach Center Publications
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Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
R. Fleming (1966)
Studia Mathematica
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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.
Sobczyk's theorems from A to B.
Félix Cabello Sánchez, Jesús M. Fernández Castillo, David Yost (2000)
Extracta Mathematicae
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Sobczyk's theorem is usually stated as: . Nevertheless, our understanding is not complete until we also recall: . Now the limits of the phenomenon are set: although c is complemented in separable superspaces, it is not necessarily complemented in a non-separable superspace, such as l.
On w*-sequential convergence, type P* bases, and reflexivity
R. Fleming, R. McWilliams, J. Retherford (1965)
Studia Mathematica
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