Some characterizations of the automorphisms of and

Author:
Lajos Molnár

Journal:
Proc. Amer. Math. Soc. **130** (2002), 111-120

MSC (1991):
Primary 47B49, 46J10

Published electronically:
June 8, 2001

MathSciNet review:
1855627

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

We present some nonlinear characterizations of the automorphisms of the operator algebra and the function algebra by means of their spectrum preserving properties.

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Additional Information

**Lajos Molnár**

Affiliation:
Institute of Mathematics and Informatics, University of Debrecen, 4010 Debrecen, P.O. Box 12, Hungary

Email:
molnarl@math.klte.hu

DOI:
https://doi.org/10.1090/S0002-9939-01-06172-X

Keywords:
Automorphism,
operator algebra,
function algebra,
spectrum

Received by editor(s):
January 25, 2000

Received by editor(s) in revised form:
May 31, 2000

Published electronically:
June 8, 2001

Additional Notes:
This research was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T030082, T031995, and by the Ministry of Education, Hungary, Reg. No. FKFP 0349/2000.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2001
American Mathematical Society