Inner-outer factorization of operator-valued functions on ordered groups
Mihály Bakonyi ; Dan Timotin
Studia Mathematica, Tome 166 (2005), p. 295-303 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284604 
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Mihály Bakonyi; Dan Timotin. Inner-outer factorization of operator-valued functions on ordered groups. Studia Mathematica, Tome 166 (2005) pp. 295-303. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-3-5/