An operator algebraic proof of Agler's factorization theorem
Operator Algebras
2008-06-17 v1 Functional Analysis
Abstract
We give a short direct proof of Agler's factorization theorem that uses the abstract 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.
Cite
@article{arxiv.0806.2640,
title = {An operator algebraic proof of Agler's factorization theorem},
author = {Sneh Lata and Meghna Mittal and Vern I. Paulsen},
journal= {arXiv preprint arXiv:0806.2640},
year = {2008}
}