Deformation of Banach spaces
Józef Banaś; Krzysztof Fraczek
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 1, page 47-53
- ISSN: 0010-2628
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topBanaś, Józef, and Fraczek, Krzysztof. "Deformation of Banach spaces." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 47-53. <http://eudml.org/doc/247517>.
@article{Banaś1993,
abstract = {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.},
author = {Banaś, Józef, Fraczek, Krzysztof},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness; uniformly convex Banach space; uniformly smooth Banach space; moduli of convexity and smoothness; measure the deformation of Banach spaces; geometric theory of Banach spaces},
language = {eng},
number = {1},
pages = {47-53},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Deformation of Banach spaces},
url = {http://eudml.org/doc/247517},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Banaś, Józef
AU - Fraczek, Krzysztof
TI - Deformation of Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 47
EP - 53
AB - 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.
LA - eng
KW - uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness; uniformly convex Banach space; uniformly smooth Banach space; moduli of convexity and smoothness; measure the deformation of Banach spaces; geometric theory of Banach spaces
UR - http://eudml.org/doc/247517
ER -
References
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