Complexity of weakly null sequences

Dale E. Alspach; Spiros Argyros

Displaying similar documents to “Complexity of weakly null sequences”

On unisolvent systems

Howard B. Lambert (1971)

Czechoslovak Mathematical Journal

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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...