Valdivia compact spaces in topology and Banach space theory.
Ondrej F. K. Kalenda (2000)
Extracta Mathematicae
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Displaying similar documents to “An Example Concerning Valdivia Compact Spaces”
Valdivia compact spaces in topology and Banach space theory.
Valdivia compacta and subspaces of C(K) spaces.
Ondrej F. K. Kalenda (1999)
Extracta Mathematicae
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Simultaneous resolutions of the identity operator in normed spaces.
Manuel Valdivia (1991)
Collectanea Mathematica
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We construct in this paper some simultaneous projective resolutions of the identity operator which we later use to obtain certain new results on quasi-complementation property and Markushevich bases.
A characterization of Valdivia compact spaces.
Ondrej Kalenda (2000)
Collectanea Mathematica
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Valdivia compacta and equivalent norms
Ondřej Kalenda (2000)
Studia Mathematica
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We prove that the dual unit ball of a Banach space X is a Corson compactum provided that the dual unit ball with respect to every equivalent norm on X is a Valdivia compactum. As a corollary we show that the dual unit ball of a Banach space X of density is Corson if (and only if) X has a projectional resolution of the identity with respect to every equivalent norm. These results answer questions asked by M. Fabian, G. Godefroy and V. Zizler and yield a converse to Amir-Lindenstrauss’...
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.
Complex Banach spaces with Valdivia dual unit ball.
Ondrej F. K. Kalenda (2005)
Extracta Mathematicae
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We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.
Distinguished Fréchet spaces dual metric spaces and tightness conditions for .
Jerzy Kakol (2004)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Remarks on continuous images of Radon-Nikodým compacta
Marián J. Fabián, Martin Heisler, Eva Matoušková (1998)
Commentationes Mathematicae Universitatis Carolinae
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A family of compact spaces containing continuous images of Radon-Nikod’ym compacta is introduced and studied. A family of Banach spaces containing subspaces of Asplund generated (i.e., GSG) spaces is introduced and studied. Further, for a continuous image of a Radon-Nikod’ym compact we prove: If is totally disconnected, then it is Radon-Nikod’ym compact. If is adequate, then it is even Eberlein compact.