Characteristic functions and Colligations

The characteristic function of row contractions and liftings of row contractions are complete invariants up to unitary equivalence for row contractions and liftings of row contractions, respectively. We provide alternate proofs for these using colligations. A class of co-isometric observable colliga...

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Bibliographic Details
Published in:arXiv.org 2023-01
Main Authors: Bala, Neeru, Dey, Santanu, Reshmi, M N
Format: Article
Language:English
Subjects:
Characteristic functions
Online Access:Get full text
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Summary:The characteristic function of row contractions and liftings of row contractions are complete invariants up to unitary equivalence for row contractions and liftings of row contractions, respectively. We provide alternate proofs for these using colligations. A class of co-isometric observable colligations with input spaces of finite dimension is characterized. Blaschke factor based transformations of the characteristic function of lifting are studied.
ISSN:2331-8422