On nearly euclidean decomposition for some classes of Banach spaces
Stanisłlaw Szarek, Nicole Tomczak-Jaegermann (1980)
Compositio Mathematica
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Stanisłlaw Szarek, Nicole Tomczak-Jaegermann (1980)
Compositio Mathematica
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J. Lindenstrauss (1975-1976)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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T. Figiel (1974-1975)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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T. Figiel (1976)
Compositio Mathematica
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W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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D. Lewis (1978)
Studia Mathematica
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Clifford Kottman (1975)
Studia Mathematica
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Carlos Benítez, Krzysztof Przesławski, David Yost (1998)
Studia Mathematica
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We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define in a canonical way a function ξ:[0,1)→ ℝ which depends only on the two-dimensional subspaces of X. We show that this function is strictly increasing and convex, and that its behaviour is intimately connected with the geometry of X. In particular, ξ tells us whether or not X is uniformly smooth, uniformly convex, uniformly non-square or an inner product space.
Şerb, Ioan (2001)
Mathematica Pannonica
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