Inner-outer factorization of operator-valued functions on ordered groups
Volume 169 / 2005
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.
