Minimal symplectic orbits of rational contractive matrix functions (Q807953)
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scientific article; zbMATH DE number 4208867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal symplectic orbits of rational contractive matrix functions |
scientific article; zbMATH DE number 4208867 |
Statements
Minimal symplectic orbits of rational contractive matrix functions (English)
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1990
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Following their earlier work [Oper. Theory: Adv. Appl. 33, 223-247 (1988)] on proper contractions and their unitary minimal completions, the authors provide a state space characterization of the orbit of a rational matrix function W(\(\lambda\)) which is a contraction on the real line and a strict contraction at infinity, under the set of all rational symplectic transformations acting minimally on W(\(\lambda\)). They use a geometric description of all minimal symplectic decompositions of such a function.
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proper contractions and their unitary minimal completions
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state space characterization of the orbit of a rational matrix function
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rational symplectic transformations
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minimal symplectic decompositions
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