Infinite-dimensional Jordan models and Smith McMillan forms

DOI10.1007/BF01694038zbMath0481.47005MaRDI QIDQ1161894

Arthur E. Frazho

Publication date: 1982

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

zbMATH Keywords

bounded analytic functionforward shiftC0 contractionHardy space of analytic functionsSmith- McMillian formsSz.-Nagy and Foias Jordan model theory

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (1)

Jordan models and *-cyclic sets

Cites Work

• Minimal factorization of matrix and operator functions
• Discrete time systems, operator models, and scattering theory
• Cyclic vectors and invariant subspaces of the backward shift operator
• On realization of linear systems and applications to some questions of stability
• On Series and Parallel Coupling of a Class of Discrete Time Infinite-Dimensional Systems
• On Hankel Operator Ranges, Meromorphic Pseudo-Continuations and Factorization of Operator-Valued Analytic Functions^†
• Irreducible Realizations and the Degree of a Rational Matrix
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