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On joint spectra of non-commuting hyponormal operators

Published online by Cambridge University Press:  17 April 2009

A. Sołtysiak
A. Sołtysiak
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Matejki 48/49, 60–769 Poznań, Poland e-mail: [email protected]
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Abstract

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We show that the left joint spectrum of an arbitrary n-tuple of hyponormal Hilbert space operators can be obtained from the spectral set γ introduced by McIntosh and Pryde. A dual statement for cohyponormal operators is also true. The result is a generalisation of a theorem proved by Pryde and the author for normal operators.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 131 - 136
Copyright
Copyright © Australian Mathematical Society 2001

References

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