Characteristic functions and Colligations
Functional Analysis
2023-02-01 v1 Operator Algebras
Abstract
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.
Cite
@article{arxiv.2301.13811,
title = {Characteristic functions and Colligations},
author = {Neeru Bala and Santanu Dey and Reshmi M. N},
journal= {arXiv preprint arXiv:2301.13811},
year = {2023}
}