On nearly euclidean decomposition for some classes of Banach spaces
Stanisłlaw Szarek, Nicole Tomczak-Jaegermann (1980)
Compositio Mathematica
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Displaying similar documents to “Volume estimates and nearly euclidean decompositions for normed spaces”
On nearly euclidean decomposition for some classes of Banach spaces
The dimension of almost spherical sections of convex bodies
J. Lindenstrauss (1975-1976)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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A short proof of Dvoretzky's theorem
T. Figiel (1974-1975)
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A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies
T. Figiel (1976)
Compositio Mathematica
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Banach spaces all of whose subspaces have the approximation property
W. B. Johnson (1979-1980)
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Finite dimensional subspaces of
D. Lewis (1978)
Studia Mathematica
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Subsets of the unit ball the are separated by more than one
Clifford Kottman (1975)
Studia Mathematica
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A universal modulus for normed spaces
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.
Geometric properties of normed spaces and estimates for rectangular modulus.
Şerb, Ioan (2001)
Mathematica Pannonica
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