The Johnson-Lindenstrauss space.
David Yost (1997)
Extracta Mathematicae
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Displaying similar documents to “The dual of every Asplund space admits a projectional resolution of the identity”
The Johnson-Lindenstrauss space.
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.
On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
Studia Mathematica
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Every Radon-Nikodym Corson compact space is Eberlein compact
J. Orihuela, W. Schachermayer, M. Valdivia (1991)
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.
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.
A note on weakly Lindelöf determined Banach spaces
A. González, Vicente Montesinos (2009)
Czechoslovak Mathematical Journal
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We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.