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Sequences in Banach spaces

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Banach Space Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 991))

Abstract

The subject of the Note is the set of all the subsequences of a linearly independent sequence of a Banach space. There are described the elementary types of this set, that is some types of subsequences such that all the other subsequences are union of these elementary types. Moreover there is a research of the most regular element in this set, in particular a research of the most regular element which keeps the completeness.

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Authors and Affiliations

  1. Dipartimento di Matematica del Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Paolo Terenzi

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  1. Paolo Terenzi
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Albrecht Pietsch Nicolae Popa Ivan Singer

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© 1983 Springer-Verlag

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Terenzi, P. (1983). Sequences in Banach spaces. In: Pietsch, A., Popa, N., Singer, I. (eds) Banach Space Theory and its Applications. Lecture Notes in Mathematics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061576

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  • DOI: https://doi.org/10.1007/BFb0061576

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12298-2

  • Online ISBN: 978-3-540-39877-6

  • eBook Packages: Springer Book Archive

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