Metric characterizations of Banach and Euclidean spaces
E. Andalafte, L. Blumenthal (1964)
Fundamenta Mathematicae
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E. Andalafte, L. Blumenthal (1964)
Fundamenta Mathematicae
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Qingjin Cheng (2016)
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We study the uniform classification of the unit spheres of general Banach sequence spaces. In particular, we obtain some interesting applications involving Property H introduced by Kasparov and Yu, and Banach expanders.
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We prove the existence of complex Banach spaces X such that every element F in the bidual X** of X has a unique best approximation π(F) in X, the equality ∥F∥ = ∥π (F)∥ + ∥F - π (F)∥ holds for all F in X**, but the mapping π is not linear.
Benavides, T.Domínguez (2010)
Fixed Point Theory and Applications [electronic only]
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Roman Sikorski (1948)
Colloquium Mathematicum
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Bogdan Rzepecki (1979)
Annales Polonici Mathematici
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J. E. Valentine, S. G. Wayment (1973)
Colloquium Mathematicae
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V. Montesinos (1987)
Studia Mathematica
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R. Williamson (1965)
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