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ISSN 1088-6826(e) ISSN 0002-9939(p)

An index theorem for Toeplitz operators on the quarter-plane

Author(s): Adel B. Badi
Journal: Proc. Amer. Math. Soc. 137 (2009), 3779-3786.
MSC (2000): Primary 47B35; Secondary 47A53, 58B15
Posted: 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 $\mathrm{C}^\ast$ -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 7th of October University, P. O. Box 2478, Misurata, Libya
Email: adbabadi@yahoo.com

DOI: 10.1090/S0002-9939-09-10007-2
PII: S 0002-9939(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
Posted: June 9, 2009
Communicated by: Marius Junge
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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