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ArticleOriginal scientific text

Title

Weyl's theorems and continuity of spectra in the class of p-hyponormal operators

Authors 1, 2

Affiliations

  1. Department of Mathematics, Faculty of Science, University of Niš, Ćirila i Metodija 2, 18000 Niš, Yugoslavia
  2. Mathematics Department, College of Science, United Arab Emirates University, P.O. Box 17551, Al Ain, Arab Emirates

Abstract

We show that p-hyponormal operators obey Weyl's and a-Weyl's theorem. Also, we show that the spectrum, Weyl spectrum, Browder spectrum and approximate point spectrum are continuous functions in the class of all p-hyponormal operators.

Keywords

ENG
p-hyponormal operators, Weyl's theorem, continuity of spectra

Bibliography

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Studia Mathematica
2000/143/1
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Pages:
23-32
Main language of publication
English
Received
1998-11-03
Accepted
1999-04-21
Published
2000
Exact and natural sciences