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On analytic factorization of positive hermitian matrix functions over the bidisc

✍ Scribed by Gordon Blower

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 112 KB
Volume: 295
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00111-1

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✦ Synopsis

Let X X T 2 3 w x C be a positive hermitian X P 0 matrix-valued function on the bitorus with T 2 log det X b ÀI and T 2 kXk `I. Then X is the v 1 -limit of p j p Ã j , where p j is a x Â x j rectangular bi-analytic matrix function. A continuous and strictly positive hermitian X X T 2 3 w x may be factored as pp Ã with p an x Â I analytic operator function.

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