## An index theorem for Toeplitz operators on the quarter-plane

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- by Adel B. Badi
- Proc. Amer. Math. Soc.
**137**(2009), 3779-3786 - DOI: https://doi.org/10.1090/S0002-9939-09-10007-2
- Published electronically: June 9, 2009
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## 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 $\mathrm {C}^\ast$โalgebras. We extend our results to matrices of Toeplitz operators on the quarter-plane.## References

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## Bibliographic Information

**Adel B. Badi**- Affiliation: Department of Mathematics, Faculty of Science, The 7$^{\textrm {th}}$ of October University, P. O. Box 2478, Misurata, Libya
- Email: adbabadi@yahoo.com
- 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
- © Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc.
**137**(2009), 3779-3786 - MSC (2000): Primary 47B35; Secondary 47A53, 58B15
- DOI: https://doi.org/10.1090/S0002-9939-09-10007-2
- MathSciNet review: 2529887