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

Volume 169 / 2005

Mihály Bakonyi, Dan Timotin Studia Mathematica 169 (2005), 295-303 MSC: 47A56, 47A68. DOI: 10.4064/sm169-3-5

Abstract

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.

Authors

  • Mihály BakonyiDepartment of Mathematics
    Georgia State University
    Atlanta, GA 30303, U.S.A.
    e-mail
  • Dan TimotinInstitute of Mathematics
    of the Romanian Academy
    PO Box 1-764
    Bucureşti 014700, Romania
    e-mail

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