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WEYL'S THEOREM FOR TENSOR PRODUCTS

Published online by Cambridge University Press:  19 May 2004

YEONG-MOO SONG
Affiliation:
Department of Mathematics Education, Sunchon National University, Sunchon 540-742, Korea e-mail: ymsong@sunchon.ac.kr
AN-HYUN KIM
Affiliation:
Department of Mathematics, Changwon National University, Changwon 641-773, Korea e-mail: ahkim@changwon.ac.kr
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Abstract

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Suppose that $A$ and $B$ are ‘isoloid’ operators acting on a complex Banach space, that is, every isolated point of their spectra is an eigenvalue. In this note it is shown that if Weyl's theorem holds for both $A$ and $B$ then it holds for $A\otimes B$.

Keywords

Type
Research Article
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

This paper was supported in part NON DIRECTED RESEARCH FUND from Suncheon National University.