Functional-analytic properties of Corson-compact spaces
S. Argyros, S. Mercourakis, S. Negrepontis (1988)
Studia Mathematica
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S. Argyros, S. Mercourakis, S. Negrepontis (1988)
Studia Mathematica
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A. Granero, M. Jiménez Sevilla, J. Moreno (1998)
Studia Mathematica
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Let be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K).
Lech Drewnowski (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Beatriz Porras Pomares (1986)
Extracta Mathematicae
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Antonio S. Granero (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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James D. Stein (1999)
Czechoslovak Mathematical Journal
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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.