\(J\)-unitary nodes with strongly regular \(J\)-inner characteristic matrix functions (Q2722109)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(J\)-unitary nodes with strongly regular \(J\)-inner characteristic matrix functions |
scientific article; zbMATH DE number 1617358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(J\)-unitary nodes with strongly regular \(J\)-inner characteristic matrix functions |
scientific article; zbMATH DE number 1617358 |
Statements
11 July 2001
0 references
\(J\)-unitary node
0 references
transmission system
0 references
characteristic matrix-function
0 references
colligation of Hilbert spaces
0 references
state space
0 references
spaces of input and output data
0 references
\(J\)-inner strongly regular
0 references
Hardy-like function spaces
0 references
\(J\)-unitary nodes with strongly regular \(J\)-inner characteristic matrix functions (English)
0 references
A \(J\)-unitary node (with a complex signature matrix \(J=J^*=J^{- 1}\neq \pm I\)) is a colligation of Hilbert spaces (a state space, spaces of input and output data) and linear bounded operators which are the coefficients of a linear discrete time-invariant conservative transmission system. The author studies analytic properties of the characteristic matrix-function \(W\) of a \(J\)-unitary node. Necessary and sufficient conditions are found for \(W\) to be \(J\)-inner strongly regular and to belong also to various Hardy-like function spaces.
0 references
