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The Classical Banach Spaces

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Sequences and Series in Banach Spaces

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

Abstract

To this juncture, we have dealt with general theorems concerning the nature of sequential convergence and convergence of series in Banach spaces. Many of the results treated thus far were first derived in special cases, then understood to hold more generally. Not too surprisingly, along the path to general results many important theorems, special in their domain of applicability, were encountered. In this chapter, we present more than a few such results.

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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). The Classical Banach 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_7

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  • DOI: https://doi.org/10.1007/978-1-4612-5200-9_7

  • 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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