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On thep-norm joint spectral radius

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Abstract

Thep-norm joint spectral radius is defined by a bounded collection of square matrices with complex entries and of the same size. In the present paper the author investigates thep-norm joint spectral radius for integers. The method introduced in this paper yields some basic formulas for these spectral radii. The approach used in this paper provides a simple proof of Berger-Wang's relation concerning the ∞-norm joint spectral radius.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, 310027, Hangzhou, China

    Zhou Jia-li

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  1. Zhou Jia-li
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Correspondence to Zhou Jia-li.

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Jia-li, Z. On thep-norm joint spectral radius. J. Zheijang Univ.-Sci. 4, 740–744 (2003). https://doi.org/10.1631/BF02851617

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  • DOI: https://doi.org/10.1631/BF02851617

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