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Symmetries and Variation of Spectra

Published online by Cambridge University Press:  20 November 2018

R. Bhatia  and
L. Elsner
R. Bhatia
Affiliation:
Indian Statistical Institute, Delhi Center, 7 S.J.S. Sansanwal Marg, New Delhi 110016, India
L. Elsner
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, 4800 Bielefeld 1, Germany
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Abstract

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An interesting class of matrices is shown to have the property that the spectrum of each of its elements is invariant under multiplication by p-th. roots of unity. For this class and for a class of Hamiltonian matrices improved spectral variation bounds are obtained.

Keywords

15 A 4215 A 5765 F 15eigenvaluesspectral variationCarrollian spectraHamiltonian matrices
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1155 - 1166
Copyright
Copyright © Canadian Mathematical Society 1992

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