Invertible factorization over multiplier algebras

DOI10.1007/s00020-012-2017-1zbMath1278.46025OpenAlexW1987857077MaRDI QIDQ1946553

Tavan T. Trent

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2017-1

zbMATH Keywords

Hardy spacereproducing kernelsfactorizationsvector-valued reproducing kernel Hilbert spacesFejer-Riesz theorem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

A constructive proof of the Leech theorem for rational matrix functions

Cites Work

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• Nest algebras and similarity transformations
• Factoring positive operators on reproducing kernel Hilbert spaces
• Factorization along commutative subspace lattices
• Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
• On factoring matrix valued functions
• A Representation Theorem for Cyclic Analytic Two-Isometries

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