Inner-outer factorization of operator-valued functions on ordered groups

• Autorzy: Mihály Bakonyi , Dan Timotin
• Języki publikacji: EN

Abstrakty

EN

Inner-outer factorization for matrix-valued functions defined on totally ordered groups has been considered by Helson and Lowdenslager in connection with multivariate prediction theory. We discuss their result in an operator-theoretic framework and prove that there are obstructions to its extension to operator-valued functions.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47A68: Factorization theory (including Wiener-Hopf and spectral factorizations)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 3
• Strony: 295-303

Daty

wydano

2005

Twórcy

autor

Mihály Bakonyi

• Department of Mathematics, Georgia State University, Atlanta, GA 30303, U.S.A.

autor

Dan Timotin

• Institute of Mathematics of the Romanian Academy, PO Box 1-764, Bucureşti 014700, Romania

Identyfikatory

DOI

10.4064/sm169-3-5