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Weyl's theorem holds for p-hyponormal operators*

Published online by Cambridge University Press:  18 May 2009

Muneo Chō ,
Masuo Itoh  and
Satoru Ōshiro
Muneo Chō
Affiliation:
Department of Mathematics, Faculty of Engineering, Kanagawa University, Yokohama 221, Japan
Masuo Itoh
Affiliation:
Tokyo Public Mita, Senior High School, Mita 1-4-46, Tokyo 108, Japan
Satoru Ōshiro
Affiliation:
Department of Mathematics, Joetsu University of Education, Joetsu 943, Japan
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Let ℋ be a complex Hilbert space and B(ℋ) the algebra of all bounded linear operators on ℋ. Let ℋ(ℋ) be the algebra of all compact operators of B(ℋ). For an operator T ε B(ℋ), let σ(T), σp(T), σπ(T) and πoo(T) denote the spectrum, the point spectrum, the approximate point spectrum and the set of all isolated eigenvalues of finite multiplicity of T, respectively. We denote the kernel and the range of an operator T by ker(T) and R(T), respectively. For a subset of ℋ, the norm closure of is denoted by . The Weyl spectrum ω(T) of T ε B(ℋ) is defined as the set

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 2 , May 1997 , pp. 217 - 220
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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