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An averaging result forl 1-sequences and applications to weakly conditionally compact sets inL 1 x

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Abstract

We establish a theorem onl 1-sequences obtained by averaging of semi-norms. The result is applied in the study of weakly conditionally compact subsets ofL 1 x , whereX is a Banach space.

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Authors and Affiliations

  1. Department of Mathematics, Vrije Universiteit, Pleinlaan 2, F7, 1050, Brussels, Belgium

    J. Bourgain

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  1. J. Bourgain
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Aspirant N.F.W.O. Belgium

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Bourgain, J. An averaging result forl 1-sequences and applications to weakly conditionally compact sets inL 1 x . Israel J. Math. 32, 289–298 (1979). https://doi.org/10.1007/BF02760458

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  • DOI: https://doi.org/10.1007/BF02760458

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