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On the spectral radius of antidiagonal block operator matrices

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Abstract

In this paper, the difference between operator norm and spectral radius for the antidiagonal block operator matrix in the direct sum of Hilbert spaces is investigated. Also, the necessary and sufficient conditions for these operators belong to Schatten-von Neumann classes are given.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey

    Pembe Ipek Al & Zameddin I. Ismailov

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  1. Pembe Ipek Al
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  2. Zameddin I. Ismailov
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Correspondence to Pembe Ipek Al.

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Al, P.I., Ismailov, Z.I. On the spectral radius of antidiagonal block operator matrices. J Math Chem 59, 2206–2217 (2021). https://doi.org/10.1007/s10910-021-01286-8

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  • DOI: https://doi.org/10.1007/s10910-021-01286-8

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