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Weyl's theorem through local spectral theory

Published online by Cambridge University Press:  25 July 2002

Slaviša Djordjević
Affiliation:
Faculty of Science, Department of Mathematics, University of Niš, Ćirila i Metodija 2, 18000 Niš, Yugoslavia e-mail: slavdj@pmf.pmf.ni.ac.yu
In Ho Jeon
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea e-mail: jih@math.ewha.ac.kr, eiko@mm.ewha.ac.kr
Eungil Ko
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea e-mail: jih@math.ewha.ac.kr, eiko@mm.ewha.ac.kr
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Abstract

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In this paper, we show that Weyl's theorem holds for operators having the single valued extension property and quasisimilarity preserves Weyl's theorem for these operators under some assumptions for spectral subsets, respectively.

Type
Research Article
Copyright
2002 Glasgow Mathematical Journal Trust

Footnotes

This work of the second and the third authors was supported by the Brain Korea 21 project.
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