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On Joint Eigenvalues of Commuting Matrices

Published online by Cambridge University Press:  20 November 2018

R. Bhatia  and
L. Elsner
R. Bhatia
Affiliation:
Indian Statistical Institute, Delhi centre, 7. SJS Sansanwal Marg, New Delhi 110016, India
L. Elsner
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
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Abstract

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A spectral radius formula for commuting tuples of operators has been proved in recent years. We obtain an analog for all the joint eigenvalues of a commuting tuple of matrices. For a single matrix this reduces to an old result of Yamamoto.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 2 , 01 June 1996 , pp. 164 - 168
Copyright
Copyright © Canadian Mathematical Society 1996

References

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