Deformation of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 47-53.

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Using some moduli of convexity and smoothness we introduce a function which allows us to measure the deformation of Banach spaces. A few properties of this function are derived and its applicability in the geometric theory of Banach spaces is indicated.
Classification : 46B20
Keywords: uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness
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Banaś, Józef; Fraczek, Krzysztof. Deformation of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 47-53. http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a4/