An operator algebraic proof of Agler’s factorization theorem
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- by Sneh Lata, Meghna Mittal and Vern I. Paulsen PDF
- Proc. Amer. Math. Soc. 137 (2009), 3741-3748 Request permission
Abstract:
We give a short direct proof of Agler’s factorization theorem that uses the Blecher-Ruan-Sinclair characterization of operator algebras. The key ingredient of this proof is an operator algebra factorization theorem. Our proof provides some additional information about these factorizations in the case of polynomials.References
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Additional Information
- Sneh Lata
- Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
- MR Author ID: 878501
- Email: snehlata@math.uh.edu
- Meghna Mittal
- Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
- Email: mittal@math.uh.edu
- Vern I. Paulsen
- Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
- MR Author ID: 137010
- ORCID: 0000-0002-2361-852X
- Email: vern@math.uh.edu
- Received by editor(s): July 9, 2008
- Received by editor(s) in revised form: February 16, 2009
- Published electronically: May 27, 2009
- Additional Notes: This research was supported in part by NSF grant DMS-0600191.
- 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), 3741-3748
- MSC (2000): Primary 46L07; Secondary 47L25
- DOI: https://doi.org/10.1090/S0002-9939-09-09928-6
- MathSciNet review: 2529882