Displaying similar documents to “Complexity of weakly null sequences”

Characterizations of spreading models of l 1

Persephone Kiriakouli (2000)

Commentationes Mathematicae Universitatis Carolinae

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Rosenthal in [11] proved that if ( f k ) is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then ( f k ) has a subsequence which is equivalent to the unit basis of l 1 in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “ γ ”. In this paper we prove some local analogues of the above Rosenthal...