Infinite dimensional stationary sequences with multiplicity one. II.
Inner-outer factorization of operator-valued functions on ordered groups
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.
Inversion of matrix convolution type operators with symmetry.
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations.