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arXiv · 2005.02743

From Lomonosov Lemma to Radical Approach in Joint Spectral Radius Theory

Edward Kissin·Victor S. Shulman·Yurii Turovskii
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Abstract

In this paper we discuss the infinite-dimensional generalizations of the famous theorem of Berger-Wang (generalized Berger-Wang formulas) and give an operator-theoretic proof of I. Morris's theorem about coincidence of three essential joint spectral radius, related to these formulas. Further we develop Banach-algebraic approach based on the theory of topological radicals, and obtain some new results about these radicals.

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Edward Kissin, Victor S. Shulman, Yurii Turovskii. 2020-05-06. From Lomonosov Lemma to Radical Approach in Joint Spectral Radius Theory. https://arxiv.org/abs/2005.02743

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