From Lomonosov Lemma to radical approach in joint spectral radius theory

Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V. (2019) From Lomonosov Lemma to radical approach in joint spectral radius theory. In: Advances in Analysis and Geometry, The Mathematical Legacy of Victor Lomonosov. Operator Theory,. De Gruyter, Berlin, Boston, pp. 205-230. ISBN 978-3-11-065339-7

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Abstract / Description

In this paper we discuss the infnite-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.

Item Type:	Book Section
Uncontrolled Keywords:	invariant subspace; joint spectral radius; topological radical
Subjects:	500 Natural Sciences and Mathematics > 510 Mathematics
Department:	School of Computing and Digital Media
Depositing User:	Edward Kissin
Date Deposited:	01 Sep 2020 10:44
Last Modified:	21 Dec 2020 01:58
URI:	https://repository.londonmet.ac.uk/id/eprint/5122

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