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.
@article{118554, author = {J\'ozef Bana\'s and Krzysztof Fraczek}, title = {Deformation of Banach spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {34}, year = {1993}, pages = {47-53}, zbl = {0817.46016}, mrnumber = {1240202}, language = {en}, url = {http://dml.mathdoc.fr/item/118554} }
Banaś, Józef; Fraczek, Krzysztof. Deformation of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 47-53. http://gdmltest.u-ga.fr/item/118554/
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