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WEYL'S THEOREM FOR OPERATOR MATRICES AND THE SINGLE VALUED EXTENSION PROPERTY

Published online by Cambridge University Press:  06 December 2006

IN HO JEON  and
JAE WON LEE
IN HO JEON
Affiliation:
Department of Mathematics Education, Seoul National University of Education, Seoul 137-742, Korea e-mail: jihmath@snue.ac.kr; jih@math.snu.ac.kr
JAE WON LEE
Affiliation:
Department of Applied Mathematics, Kumoh National Institute of Technology, Gumi 730-701, Korea e-mail: ljaewon@mail.kumoh.ac.kr
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Abstract

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If bounded linear operators $A$ and $B$ are each reguloid, and have the single valued extension property, then Weyl's theorem holds for all holomorphic functions of all operator matrices $M_{C}=\scriptsize\scriptsize(\begin{array}{@{}cc@{}}A&C\\0&B\end{array})$.

Keywords

47A53
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 3 , September 2006 , pp. 567 - 573
Copyright
2006 Glasgow Mathematical Journal Trust

Footnotes

This work was supported by a grant (R14-2003-006-01001-0) from the Korea Science and Engineering Foundation.