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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2019 From Lomonosov Lemma to radical approach in Joint spectral radius theory.pdf - Accepted Version Download (160kB) | Preview |
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 |
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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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