The geometry of -spaces over atomless measure spaces and the Daugavet property.
Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “Application of Bishop-Phelps theorem in the approximation theory.”
The geometry of -spaces over atomless measure spaces and the Daugavet property.
Some remarks on the space of differences of sublinear functions
Sven Bartels, Diethard Pallaschke (1994)
Applicationes Mathematicae
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Two properties concerning the space of differences of sublinear functions D(X) for a real Banach space X are proved. First, we show that for a real separable Banach space (X,‖·‖) there exists a countable family of seminorms such that D(X) becomes a Fréchet space. For X = ℝ^n this construction yields a norm such that D(ℝ^n) becomes a Banach space. Furthermore, we show that for a real Banach space with a smooth dual every sublinear Lipschitzian function can be expressed by the Fenchel...
On the C-farthest points.
Abdelhakim Maaden (2001)
Extracta Mathematicae
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Very non-constrained subspaces of Banach spaces.
P. Bandyopadhyay, S. Basu, S. Dutta, B.-L. Lin (2003)
Extracta Mathematicae
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Geometric properties of Banach spaces and metric fixed point theory.
Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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The Mazur intersection property for families of closed bounded convex sets in Banach spaces
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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The Banach space c.
Gilles Godefroy (2001)
Extracta Mathematicae
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On nicely smooth Banach spaces.
Pradipta Bandyopadhyay, Sudeshna Basu (2001)
Extracta Mathematicae
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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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Some results for one class of discontinuous operators with fixed points.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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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.