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

@article{MihályBakonyi2005,
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.},
author = {Mihály Bakonyi, Dan Timotin},
journal = {Studia Mathematica},
keywords = {matrix-valued functions; inner-outer factorisation; multivariate prediction theory; operator-valued functions; ordered groups; semigroups of isometries},
language = {eng},
number = {3},
pages = {295-303},
title = {Inner-outer factorization of operator-valued functions on ordered groups},
url = {http://eudml.org/doc/284604},
volume = {169},
year = {2005},
}

TY - JOUR
AU - Mihály Bakonyi
AU - Dan Timotin
TI - Inner-outer factorization of operator-valued functions on ordered groups
JO - Studia Mathematica
PY - 2005
VL - 169
IS - 3
SP - 295
EP - 303
AB - 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.
LA - eng
KW - matrix-valued functions; inner-outer factorisation; multivariate prediction theory; operator-valued functions; ordered groups; semigroups of isometries
UR - http://eudml.org/doc/284604
ER -