Absolute Continuity, Interpolation and the Lyapunov Order

Paul Muhly; Baruch Solel

doi:10.1007/s00020-011-1914-z

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Absolute Continuity, Interpolation and the Lyapunov Order

Journal article

Peer reviewed

Absolute Continuity, Interpolation and the Lyapunov Order

Paul Muhly and Baruch Solel

Integral equations and operator theory, Vol.72(1), pp.91-101

01/2012

DOI: 10.1007/s00020-011-1914-z

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Abstract

We extend our Nevanlinna–Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representations. The Lyapunov order plays a crucial role in our analysis.

Lyapunov order

Hardy algebra

Mathematics

representations

Primary 15A24

47L30

Analysis

Nevanlinna–Pick interpolation

47L65

absolute continuity

46H25

47L55

Secondary 46H25

Details

Title: Subtitle: Absolute Continuity, Interpolation and the Lyapunov Order
Creators: Paul Muhly - Department of Mathematics University of Iowa Iowa City IA 52242 USA
Baruch Solel - Department of Mathematics Technion 32000 Haifa Israel
Resource Type: Journal article
Publication Details: Integral equations and operator theory, Vol.72(1), pp.91-101
Publisher: SP Birkhäuser Verlag Basel
DOI: 10.1007/s00020-011-1914-z
ISSN: 0378-620X
eISSN: 1420-8989
Language: English
Date published: 01/2012
Academic Unit: Mathematics; Statistics and Actuarial Science
Record Identifier: 9984083847202771

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