Relations between the Taylor spectrum

and the Xia spectrum

Author:
Muneo Cho

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2357-2363

MSC (1991):
Primary 47B20

DOI:
https://doi.org/10.1090/S0002-9939-99-05335-6

Published electronically:
December 7, 1999

MathSciNet review:
1664357

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a doubly commuting -tuple of -hyponormal operators with unitary operators from the polar decompositions . Let and . In this paper, we will show relations between the Taylor spectrum and the Xia spectrum .

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Additional Information

**Muneo Cho**

Affiliation:
Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan

Email:
m-cho@cc.kanagawa-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-99-05335-6

Keywords:
Putnam's inequality,
Taylor spectrum,
Xia spectrum,
generalized polar symbols

Received by editor(s):
March 12, 1998

Received by editor(s) in revised form:
September 18, 1998

Published electronically:
December 7, 1999

Additional Notes:
This research was partially supported by Grant-in-Aid Scientific Research No.09640229

Dedicated:
Dedicated to Professor Jyunji Inoue on his sixtieth birthday

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society