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A Commutant Lifting Theorem for a Domain in C2and Spectral Interpolation

✍ Scribed by J. Agler; N.J. Young

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 183 KB
Volume: 161
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1998.3362

No coin nor oath required. For personal study only.

✦ Synopsis

We characterise the pairs of commuting operators on Hilbert space for which the domain 1=

We give an application to the spectral Nevanlinna Pick problem: we obtain a necessary condition for the existence of an analytic 2_2 matrix function satisfying interpolation conditions and bounds on eigenvalues.

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