An operator algebraic proof of Agler’s factorization theorem

DOI10.1090/S0002-9939-09-09928-6zbMath1188.46035arXiv0806.2640MaRDI QIDQ3642660

Vern I. Paulsen, Meghna Mittal, Sneh Lata

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2640

zbMATH Keywords

operator algebraAgler's factorisation theoremSchur-Agler space

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Operator spaces (= matricially normed spaces) (47L25)

Related Items (5)

Stochastics and dynamics of fractals ⋮ Metric duality between positive definite kernels and boundary processes ⋮ Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces ⋮ Operator algebras of functions ⋮ Realizations and factorizations of positive definite kernels

Cites Work

• A characterization of operator algebras
• Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An operator algebraic proof of Agler’s factorization theorem