The Operator Valued Autoregressive Filter Problem and the Suboptimal Nehari Problem in Two Variables

Details The Operator Valued Autoregressive Filter Problem and the Suboptimal Nehari Problem in Two Variables The Operator Valued Autoregressive Filter Problem and the Suboptimal Nehari Problem in Two Variables

2004-12-28

arxiv.org/abs/math/0412508v1

Mathematics

Functional Analysis

18 pages

Scientific paper

Necessary and sufficient conditions are given for the solvability of the
operator valued two-variable autoregressive filter problem. In addition, in the
two variable suboptimal Nehari problem sufficient conditions are given for when
a strictly contractive little Hankel has a strictly contractive symbol.

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