Triangular Models of Commutative Systems of Linear Operators Close to Unitary Operators

Triangular Models of Commutative Systems of Linear Operators Close to Unitary Operators

Triangular models are constructed for commutative systems of linear bounded operators close to unitary operators. The construction of these models is based on the continuation of basic relations for the characteristic function along the general chain of invariant subspaces.

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Veröffentlicht in:Ukrainian mathematical journal 2016-10, Vol.68 (5), p.791-811
Hauptverfasser: Hatamleh, R., Zolotarev, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Characteristic functions
Geometry
Linear operators
Mathematics
Mathematics and Statistics
Statistics
Subspaces
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Beschreibung
Zusammenfassung:Triangular models are constructed for commutative systems of linear bounded operators close to unitary operators. The construction of these models is based on the continuation of basic relations for the characteristic function along the general chain of invariant subspaces.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1258-6