On infinite dimensional uniform smoothness of Banach spaces
Prus, Stanisław
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 97-105 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1999-01-01
Classification:  46B20,  47H10 
@article{119065,
     author = {Stanis\l aw Prus},
     title = {On infinite dimensional uniform smoothness of Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {97-105},
     zbl = {1060.46504},
     mrnumber = {1715204},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119065}
}

Prus, Stanisław. On infinite dimensional uniform smoothness of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 97-105. http://gdmltest.u-ga.fr/item/119065/

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