On class of Banach spaces
M. Valdivia (1977)
Studia Mathematica
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Displaying similar documents to “The controlled separable projection property for Banach spaces”
On class of Banach spaces
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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The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
W. Szlenk (1968)
Studia Mathematica
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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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Some Applications of Simons’ Inequality
Godefroy, Gilles (2000)
Serdica Mathematical Journal
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We survey several applications of Simons’ inequality and state related open problems. We show that if a Banach space X has a strongly sub-differentiable norm, then every bounded weakly closed subset of X is an intersection of finite union of balls.
On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
Studia Mathematica
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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.
Strong subdifferentiability of norms and geometry of Banach spaces
Gilles Godefroy, Vicente Montesinos, Václav Zizler (1995)
Commentationes Mathematicae Universitatis Carolinae
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The strong subdifferentiability of norms (i.eȯne-sided differentiability uniform in directions) is studied in connection with some structural properties of Banach spaces. It is shown that every separable Banach space with nonseparable dual admits a norm that is nowhere strongly subdifferentiable except at the origin. On the other hand, every Banach space with a strongly subdifferentiable norm is Asplund.