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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Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Alpay, Safak, Ercan, Zafer (2006)
Sibirskij Matematicheskij Zhurnal
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Gómez Palacio, Patricia, López Molina, Juan Antonio, Rivera, José (2009)
Boletín de la Asociación Matemática Venezolana
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Plichko, Anatolij (1997)
Serdica Mathematical Journal
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* This paper was supported in part by the Bulgarian Ministry of Education, Science and Technologies under contract MM-506/95. The main results of the paper are: Theorem 1. Let a Banach space E be decomposed into a direct sum of separable and reflexive subspaces. Then for every Hausdorff locally convex topological vector space Z and for every linear continuous bijective operator T : E → Z, the inverse T^(−1) is a Borel map. Theorem 2. Let us assume the continuum hypothesis....
Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Matsak, Ivan, Plichko, Anatolij (2002)
Georgian Mathematical Journal
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Zarghami, R. (2010)
The Journal of Nonlinear Sciences and its Applications
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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.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Laurent Vanderputten (2001)
Extracta Mathematicae
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M. Isabel Garrido, Jesús A. Jaramillo (2002)
Extracta Mathematicae
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Michels, C. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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