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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the joint spectral radius. II


Authors: Muneo Chō, Tadasi Huruya and Volker Wrobel
Journal: Proc. Amer. Math. Soc. 116 (1992), 987-989
MSC: Primary 47A13
MathSciNet review: 1097339
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Abstract: In this paper we show that if $ {\mathbf{T}} = ({T_1}, \ldots ,{T_n})$ is a commuting $ n$-tuple of operators on a Hilbert space such that $ \sigma ({\mathbf{T}}) = \Pi _{i = 1}^n\sigma ({T_i})$, then the algebraic joint spectral radius is equal to the geometric one.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1097339-1
Keywords: Joint spectrum, joint spectral radius
Article copyright: © Copyright 1992 American Mathematical Society