Representation of the Hausdorff measure of noncompactness in special Banach spaces
Sabina Schmidt (1989)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Extension of linear operators and Lipschitz maps into -spaces.”
Representation of the Hausdorff measure of noncompactness in special Banach spaces
The Johnson-Lindenstrauss space.
David Yost (1997)
Extracta Mathematicae
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Properties WORTH and WORTH, embeddings in Banach spaces with 1-unconditional basis and wFPP.
Fetter, Helga, De Buen, Berta Gamboa (2010)
Fixed Point Theory and Applications [electronic only]
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Lipschitz-quotients and the Kunen-Martin Theorem
Yves Dutrieux (2001)
Commentationes Mathematicae Universitatis Carolinae
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We show that there is a universal control on the Szlenk index of a Lipschitz-quotient of a Banach space with countable Szlenk index. It is in particular the case when two Banach spaces are Lipschitz-homeomorphic. This provides information on the Cantor index of scattered compact sets and such that is a Lipschitz-quotient of (that is the case in particular when these two spaces are Lipschitz-homeomorphic). The proof requires tools of descriptive set theory.
Dual renormings of Banach spaces
Petr Hájek (1996)
Commentationes Mathematicae Universitatis Carolinae
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We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented.