Geodesic
On infinite dimensional uniform smoothness of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 97-105

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MR   Zbl

An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some $l_p$-type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property.
An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some $l_p$-type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property.
Classification : 46B20, 47H10
Keywords: Banach space; nearly uniform smoothness; finite dimensional decomposition; Banach-Saks property; fixed point property 
Prus, Stanisław. On infinite dimensional uniform smoothness of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 97-105. http://geodesic.mathdoc.fr/item/CMUC_1999_40_1_a6/
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     title = {On infinite dimensional uniform smoothness of {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {97--105},
     year = {1999},
     volume = {40},
     number = {1},
     mrnumber = {1715204},
     zbl = {1060.46504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_1_a6/}
}
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