Asplund spaces for beginners
David Yost (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Weak-star point of continuity property and Schauder bases”
Asplund spaces for beginners
On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
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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The Johnson-Lindenstrauss space.
David Yost (1997)
Extracta Mathematicae
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An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
C. S. Barroso, M. A. M. Marrocos, M. P. Rebouças (2013)
Studia Mathematica
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We establish some results that concern the Cauchy-Peano problem in Banach spaces. We first prove that a Banach space contains a nontrivial separable quotient iff its dual admits a weak*-transfinite Schauder frame. We then use this to recover some previous results on quotient spaces. In particular, by applying a recent result of Hájek-Johanis, we find a new perspective for proving the failure of the weak form of Peano's theorem in general Banach spaces. Next, we study a kind of algebraic...
Rough and strongly rough norms on Banach spaces
Whitfield, J. H. M.
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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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Weak* bases in conjugate Banach spaces
I. Singer (1961)
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.
The weak Phillips property
Ali Ülger (2001)
Colloquium Mathematicae
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Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.