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Weyl's theorem for f(T{\hskip1}) when T is a dominant operator

Published online by Cambridge University Press:  25 July 2002

In Ho Jeon ,
Eungil Ko  and
Hong Youl Lee
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
Hong Youl Lee
Affiliation:
Department of Mathematics, Jeonju Woosuk University, Korea e-mail: hylee@core.woosuk.ac.kr
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Let T be a dominant operator that is a quasi-affine transform of an M-hyponormal operator. In this paper we show that if f is a function analytic on a neighborhood of the spectrum of T, then Weyl's theorem holds for f(T{\hskip1}).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 3 , May 2001 , pp. 359 - 363
Copyright
2001 Glasgow Mathematical Journal Trust