Weyl's theorem holds for algebraically hyponormal operators

Authors:
Young Min Han and Woo Young Lee

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2291-2296

MSC (2000):
Primary 47A10, 47A53; Secondary 47B20

DOI:
https://doi.org/10.1090/S0002-9939-00-05741-5

Published electronically:
March 29, 2000

MathSciNet review:
1756089

Full-text PDF

Abstract | References | Similar Articles | Additional Information

In this note it is shown that if is an ``algebraically hyponormal" operator, i.e., is hyponormal for some nonconstant complex polynomial , then for every , Weyl's theorem holds for , where denotes the set of analytic functions on an open neighborhood of .

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Additional Information

**Young Min Han**

Affiliation:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea

**Woo Young Lee**

Affiliation:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea

Email:
wylee@yurim.skku.ac.kr

DOI:
https://doi.org/10.1090/S0002-9939-00-05741-5

Keywords:
Weyl's theorem,
algebraically hyponormal operators,
unilateral weighted shifts

Received by editor(s):
August 22, 1998

Published electronically:
March 29, 2000

Additional Notes:
This work was partially supported by the BSRI-97-1420 and the KOSEF through the GARC at Seoul National University.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society