A trace formula for isometric pairs

Author:
Rongwei Yang

Journal:
Proc. Amer. Math. Soc. **131** (2003), 533-541

MSC (2000):
Primary 47A13

DOI:
https://doi.org/10.1090/S0002-9939-02-06687-X

Published electronically:
June 5, 2002

MathSciNet review:
1933344

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Abstract | References | Similar Articles | Additional Information

Abstract: It is well known that for every isometry , This fact for the shift operator is a basis for many important developments in operator theory and topology. In this paper we prove an analogous formula for a pair of isometries , namely

where is the complete anti-symmetric sum and is the Fredholm index of the pair . The major tool is what we call the

*fringe*operator. Two examples are considered.

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Additional Information

**Rongwei Yang**

Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona 85287

Address at time of publication:
Department of Mathematics and Statistics, State University of New York at Albany, Albany, New York 12222

Email:
ryang@math.la.asu.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06687-X

Received by editor(s):
March 20, 2001

Received by editor(s) in revised form:
September 25, 2001

Published electronically:
June 5, 2002

Additional Notes:
The author was partially supported by a grant from the National Science Foundation (DMS 9970932)

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2002
American Mathematical Society