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Some Generalized Versions of Chevet–Saphar Tensor Norms

Author

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  • Ju Myung Kim

    (Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea)

Abstract

The paper is concerned with some generalized versions g E and w E of classical tensor norms. We find a Banach space E for which g E and w E are finitely generated tensor norms, and show that g E and w E are associated with the ideals of some E -nuclear operators. We also initiate the study of some theories of our tensor norms.

Suggested Citation

  • Ju Myung Kim, 2022. "Some Generalized Versions of Chevet–Saphar Tensor Norms," Mathematics, MDPI, vol. 10(15), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2716-:d:877815
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    References listed on IDEAS

    as
    1. Silvia Lassalle & Pablo Turco, 2017. "On null sequences for Banach operator ideals, trace duality and approximation properties," Mathematische Nachrichten, Wiley Blackwell, vol. 290(14-15), pages 2308-2321, October.
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