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On analytic factorisation of positive hermitian matrix functions over the bidisc.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>1/07/1999
<mark>Journal</mark>Linear Algebra and its Applications
Issue number1-3
Volume295
Number of pages10
Pages (from-to)149-158
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Let be a positive hermitian (Ω0) matrix-valued function on the bitorus with and . Then Ω is the L1-limit of FjFj*, where Fj is a (N×Nj) rectangular bi-analytic matrix function. A continuous and strictly positive hermitian may be factored as FF* with F an N×∞ analytic operator function.