Displaying similar documents to “Convergence of series and isomorphic embeddings in 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.

Random n -ary sequence and mapping uniformly distributed

Nguyen Van Ho, Nguyen Thi Hoa (1995)

Applications of Mathematics

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Višek [3] and Culpin [1] investigated infinite binary sequence X = ( X 1 , X 2 , ) with X i taking values 0 or 1 at random. They investigated also real mappings H ( X ) which have the uniform distribution on [ 0 ; 1 ] (notation 𝒰 ( 0 ; 1 ) ). The problem for n -ary sequences is dealt with in this paper.