Factorization of Characteristic Functions of Iterated Liftings
Functional Analysis
2022-12-16 v1 Operator Algebras
Abstract
We obtain a factorization of the characteristic function of a contractive two-step iterated lifting in terms of the characteristic functions of constituent liftings of the iterated lifting and the Julia-Halmos matrix. We also give an expression for the characteristic function of the minimal part of a contractive two-step iterated lifting as a restriction of the product of the characteristic functions of constituent liftings of the iterated lifting.
Keywords
Cite
@article{arxiv.2212.07808,
title = {Factorization of Characteristic Functions of Iterated Liftings},
author = {Neeru Bala and Santanu Dey and M. N. Reshmi},
journal= {arXiv preprint arXiv:2212.07808},
year = {2022}
}
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19 pages