Contractions and the Commutant Lifting Theorem in Kreĭn Spaces

DOI10.1007/978-3-0348-0667-1_33zbMath1361.47003OpenAlexW1555013398WikidataQ57451928 ScholiaQ57451928MaRDI QIDQ3462174

Michael A. Dritschel

Publication date: 4 January 2016

Published in: Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0667-1_33

zbMATH Keywords

contractionHilbert spaceKrein spacedilation theoremcommutant lifting problem

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

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• Rational dilation on an annulus
• Lifting of operators and prescribed numbers of negative squares
• Models for noncommuting operators
• Minimal signature in lifting of operators. II
• The commutant lifting approach to interpolation problems
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions
• Counterexamples to rational dilation on symmetric multiply connected domains
• Unitary dilations for commuting contractions
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• The noncommutative Choquet boundary
• Commutant lifting for commuting row contractions
• A commutant lifting theorem on the polydisc
• The failure of rational dilation on a triply connected domain
• Classical function theory, operator dilation theory, and machine computation on multiply-connected domains
• Generalized Interpolation in H ∞
• Dilations for Representations of Triangular Algebras

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