An index theorem for Toeplitz operators on the quarter-plane

Author:
Adel B. Badi

Journal:
Proc. Amer. Math. Soc. **137** (2009), 3779-3786

MSC (2000):
Primary 47B35; Secondary 47A53, 58B15

Published electronically:
June 9, 2009

MathSciNet review:
2529887

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove an index theorem for Toeplitz operators on the quarter-plane using the index theory for generalized Toeplitz operators introduced by G. J. Murphy. To prove this index theorem we construct an indicial triple on the tensor product of two commutative symbol -algebras. We extend our results to matrices of Toeplitz operators on the quarter-plane.

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Additional Information

**Adel B. Badi**

Affiliation:
Department of Mathematics, Faculty of Science, The 7$^{th}$ of October University, P. O. Box 2478, Misurata, Libya

Email:
adbabadi@yahoo.com

DOI:
http://dx.doi.org/10.1090/S0002-9939-09-10007-2

Keywords:
Toeplitz operators on the quarter-plane,
generalized Fredholm index,
topological index,
indicial triple

Received by editor(s):
February 21, 2008

Received by editor(s) in revised form:
February 23, 2009

Published electronically:
June 9, 2009

Communicated by:
Marius Junge

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.