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ON WEYL'S THEOREM FOR TENSOR PRODUCTS

Published online by Cambridge University Press:  02 August 2012

C. S. KUBRUSLY  and
B. P. DUGGAL
C. S. KUBRUSLY
Affiliation:
Catholic University of Rio de Janeiro, Rio de Janeiro, 22453-900, RJ, Brazil e-mail: carlos@ele.puc-rio.br
B. P. DUGGAL
Affiliation:
Department of Mathematics, University of Niš, P.O. Box 224, Niš, Serbia e-mail: bpduggal@yahoo.co.uk
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Abstract

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Let A and B be operators acting on infinite-dimensional spaces. In this paper we prove that if A and B are isoloid, satisfy Weyl's theorem, and the Weyl spectrum identity holds, then A⊗B satisfies Weyl's theorem.

Keywords

Primary 47A80Secondary 47A53
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 1 , January 2013 , pp. 139 - 144
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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