Bounded characteristic functions and models for noncontractive sequences of operators.

DOI10.1007/BF02789592zbMath1064.47009MaRDI QIDQ1865895

Gelu Popescu, Aurelian Gheondea

Publication date: 2003

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

zbMATH Keywords

Sz.-Nagy-Foiaş functional model for completely non-coisometric sequences

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (1)

Abstract characteristic function

Cites Work

• Models for n-tuples of noncommuting operators
• Lifting of operators and prescribed numbers of negative squares
• Models for noncommuting operators
• Models for noncontractions
• Joint similarity and dilations for noncontractive sequences of operators.
• Functional calculus for noncommuting operators
• Multi-analytic operators on Fock spaces
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
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