Norms that locally depend on countably many linear functionals.
M. Fabian, V. Zizler (2001)
Extracta Mathematicae
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Displaying similar documents to “Decomposition of Banach Space into a Direct Sum of Separable and Reflexive Subspaces and Borel Maps”
Norms that locally depend on countably many linear functionals.
The Banach space c.
Gilles Godefroy (2001)
Extracta Mathematicae
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Ordinal indices in Banach spaces.
E. Odell (2004)
Extracta Mathematicae
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Strong proximinality and polyhedral spaces.
Gilles Godefroy, V. Indumathi (2001)
Revista Matemática Complutense
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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Remarks on remotal sets in vector valued function spaces.
Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Structure resolvability
Rolando Jimenez, Viacheslav I. Malykhin (1998)
Commentationes Mathematicae Universitatis Carolinae
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We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.
The Mazur intersection property for families of closed bounded convex sets in Banach spaces
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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On the C-farthest points.
Abdelhakim Maaden (2001)
Extracta Mathematicae
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