从Lomonosov引理到联合谱半径理论中的Radical方法
From Lomonosov Lemma to Radical Approach in Joint Spectral Radius Theory
摘要：
本文讨论了著名的Berger-Wang定理（广义Berger-Wang公式）的无穷维推广，并给出了I。与这些公式有关的Morris关于三个基本结点谱半径重合的定理。进一步发展了基于拓扑根理论的Banach-代数方法，得到了关于拓扑根的一些新结果。
英文摘要：
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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