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Isometric, Symmetric and Isosymmetric Commuting d-Tuples of Banach Space Operators

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Abstract

Generalising the definition to commuting d-tuples of operators, a number of authors have considered structural properties of m-isometric, n-symmetric and (m, n)-isosymmetric commuting d-tuples in the recent past. This note is an attempt to take the mystique out of this extension and show how a large number of these properties follow from the more familiar arguments used to prove the single operator version of these properties.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, P.O.Box 224, Niš, 18000, Serbia

    B. P. Duggal

  2. Department of Mathematics, Incheon National University, Incheon, 22012, Korea

    I. H. Kim

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  1. B. P. Duggal
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  2. I. H. Kim
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The I. H. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1F1A1057574).

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Duggal, B.P., Kim, I.H. Isometric, Symmetric and Isosymmetric Commuting d-Tuples of Banach Space Operators. Results Math 78, 85 (2023). https://doi.org/10.1007/s00025-023-01855-0

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