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Lookup NU author(s): Professor Jim Agler, Professor Nicholas Young
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We characterise the pairs of commuting operators on Hilbert space for which the domain Γ = {(λ1 + λ2, λ1λ2): |λ1| ≤ 1, |λ2| ≤ 1} is a complete spectral set. 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. © 1999 Academic Press.
Author(s): Agler J, Young NJ
Publication type: Article
Publication status: Published
Journal: Journal of Functional Analysis
Year: 1999
Volume: 161
Issue: 2
Pages: 452-477
Print publication date: 01/02/1999
ISSN (print): 0022-1236
ISSN (electronic): 1096-0783
Publisher: Academic Press
URL: http://dx.doi.org/10.1006/jfan.1998.3362
DOI: 10.1006/jfan.1998.3362
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