Factorization of operator-valued polynomials in several non-commuting variables

DOI10.1016/S0024-3795(00)00285-8zbMath0980.47024MaRDI QIDQ5932211

Scott A. McCullough

Publication date: 19 February 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

factorizationcompletely positiveHankel and Toeplitz matricespositive semidefinite

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) 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) Dilations, extensions, compressions of linear operators (47A20) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

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Cites Work

• Positive definite completions of partial Hermitian matrices
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
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