An operator algebraic proof of Agler's factorization theorem

Details An operator algebraic proof of Agler's factorization theorem An operator algebraic proof of Agler's factorization theorem

2008-06-16

arxiv.org/abs/0806.2640v1

Mathematics

Operator Algebras

Scientific paper

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.

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