Geodesic
Inner-outer factorization of operator-valued functions on ordered groups
Mihály Bakonyi 1   ; Dan Timotin 2
1 Department of Mathematics Georgia State University Atlanta, GA 30303, U.S.A.
2 Institute of Mathematics of the Romanian Academy PO Box 1-764 Bucureşti 014700, Romania
Studia Mathematica, Tome 169 (2005) no. 3, pp. 295-303 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm169-3-5
Keywords: inner outer factorization matrix valued functions defined totally ordered groups has considered helson lowdenslager connection multivariate prediction theory discuss their result operator theoretic framework prove there obstructions its extension operator valued functions

Mihály Bakonyi  1   ; Dan Timotin  2

1 Department of Mathematics Georgia State University Atlanta, GA 30303, U.S.A.
2 Institute of Mathematics of the Romanian Academy PO Box 1-764 Bucureşti 014700, Romania 
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Mihály Bakonyi; Dan Timotin. Inner-outer factorization of operator-valued
 functions on ordered groups. Studia Mathematica, Tome 169 (2005) no. 3, pp. 295-303. doi: 10.4064/sm169-3-5

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