The Szlenk Index of L_p(X)

2013/08/16 by Hajek, Petr, Schlumprecht, Thomas
#46B03 46B10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1308.3629

Abstract

We find an optimal upper bound on the values of the weak^*-dentability index Dz(X) in terms of the Szlenk index Sz(X) of a Banach space X with separable dual. Namely, if Sz(X)=ω^α, for some α

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