Absolute continuity, interpolation and the Lyapunov order

DOI10.1007/s00020-011-1914-zzbMath1273.47034arXiv1107.0552OpenAlexW2083624848MaRDI QIDQ421096

Paul S. Muhly, Baruch Solel

Publication date: 23 May 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0552

zbMATH Keywords

representationsabsolute continuityNevanlinna-Pick interpolationHardy algebraLyapunov order

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Abstract operator algebras on Hilbert spaces (47L30) Linear operator methods in interpolation, moment and extension problems (47A57) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Representations of (nonselfadjoint) operator algebras (47L55) Crossed product algebras (analytic crossed products) (47L65)

Related Items (2)

A Hill-Pick matrix criterion for the Lyapunov order ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions

Cites Work

• Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators
• Hardy algebras, \(W^*\)-correspondences and interpolation theory
• Schur class operator functions and automorphisms of Hardy algebras
• The Lyapunov order for real matrices
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• Induced representations of C\(^*\)-algebras
• Tensor Algebras, Induced Representations, and the Wold Decomposition
• Generalized Interpolation in H ∞

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