拓扑根，V.从代数到spectral theory
Topological radicals, V. From algebra to spectral theory
摘要：
介绍和研究了与谱理论相关的联合谱半径理论的步骤和构造。特别是发展了散射根的理论。在应用中，我们找到了谱和各种类型谱半径连续的充分条件，证明了GCR C ~*-代数的联合谱半径在预紧子集上连续，并与Berger-Wang半径一致。
英文摘要：
We introduce and study procedures and constructions in the theory of the joint spectral radius that are related to the spectral theory. In particular we devlop the theory of the scattered radical. Among applications we find some sufficient conditions of continuity of the spectrum and spectral radii of various types, and prove that in GCR C*-algebras the joint spectral radius is continuous on precompact subsets and coincides with the Berger-Wang radius.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
