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Weak Convergence and Unconditionally Convergent Series in Uniformly Convex Spaces

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Sequences and Series in Banach Spaces

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 92))

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Abstract

In this chapter, we prove three results too stunning not to be in the spotlight. These results are typical of the most attractive aspects of the theory of Banach spaces in that they are proved under easily stated, commonly understood hypotheses, are readily appreciated by Banach spacers and non-Banach spacers alike, and have proofs that bare their geometric souls.

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Authors and Affiliations

  1. Department of Math Sciences, Kent State University, 44242, Kent, OH, USA

    Joseph Diestel

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  1. Joseph Diestel
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© 1984 Springer-Verlag New York, Inc.

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Diestel, J. (1984). Weak Convergence and Unconditionally Convergent Series in Uniformly Convex Spaces. In: Sequences and Series in Banach Spaces. Graduate Texts in Mathematics, vol 92. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5200-9_8

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  • DOI: https://doi.org/10.1007/978-1-4612-5200-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9734-5

  • Online ISBN: 978-1-4612-5200-9

  • eBook Packages: Springer Book Archive

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