Displaying similar documents to “Representation of the Hausdorff measure of noncompactness in special Banach spaces”

On infinite dimensional uniform smoothness of Banach spaces

Stanisław Prus (1999)

Commentationes Mathematicae Universitatis Carolinae

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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.