From Lomonosov Lemma to Radical Approach in Joint Spectral Radius Theory
Edward Kissin, Victor S. Shulman, Yurii Vladimirovich Turovskii · London Met Repository (London Metropolitan University) · 2020
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.