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M-structure in tensor products of Banach spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 843)

Abstract

We define the basic concepts of the theory of M-structure and investigate the M-structure properties of the ∈-tensor product. Our main result generalizes a theorem due to author. It describes how the centralizer of the tensor product can be constructed from the centralizers of the factors. In the last sections we investigate some applications and indicate some open problems.

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© 1981 Springer-Verlag

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Behrends, E. (1981). M-structure in tensor products of Banach spaces. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089269

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  • DOI: https://doi.org/10.1007/BFb0089269

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10560-2

  • Online ISBN: 978-3-540-38529-5

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