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.
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
Keywords: uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness
@article{CMUC_1993_34_1_a4,
author = {Bana\'s, J\'ozef and Fraczek, Krzysztof},
title = {Deformation of {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {47--53},
year = {1993},
volume = {34},
number = {1},
mrnumber = {1240202},
zbl = {0817.46016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_1_a4/}
}
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/