Contractions with polynomial characteristic functions I. Geometric approach

DOI10.1090/S0002-9947-2012-05450-XzbMath1284.47008arXiv1002.3679MaRDI QIDQ2841347

Ciprian Foias, Jaydeb Sarkar

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3679

zbMATH Keywords

contractioncharacteristic functionweighted shiftsmodelnilpotent operatorsoperator-valued polynomials

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

Characteristic functions of liftings-II ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ Unitary invariants on the unit ball of $B(\mathcal {H})^n$ ⋮ Functional models and minimal contractive liftings

Cites Work

• An introduction to operator polynomials
• The commutant lifting approach to interpolation problems
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Commutators and systems of singular integral equations. I
• Contractions with Constant Characteristic Function are Reflexive
• Complex geometry and operator theory
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