4 papers
Regularity of the Sz.-Nagy and FoiaÅ Factorization of Characteristic Functions and Its Multivariable Analogue
Kalpesh J. Haria, Aashish Kumar Maurya
Given a contraction with an invariant subspace and a row contraction with a joint invariant subspace, a factorization of their characteristic functions was obtained by Sz.-Nagy and…
Characteristic Functions and Colligations
Neeru Bala, Santanu Dey, Kalpesh J. Haria +1
The characteristic function of row contractions and the characteristic function of liftings of row contractions are multi-analytic operators which are complete invariants up to uni…
-Regular Factorizations and Joint Invariant Subspaces of Completely Non-Coisometric Row Contractions
Kalpesh J. Haria, Aashish Kumar Maurya
This article investigates -regular factorizations of characteristic functions associated with completely non-coisometric row contractions. In this setting, a one-to-one correspo…
-Regular Factorizations and Invariant Subspaces of Completely Non-Unitary Contractions
Kalpesh J. Haria, Aashish Kumar Maurya
We introduce the notion of -regular factorizations for contractions into factors, generalizing the classical notion of regular factorization due to Sz.-Nagy and FoiaÅ, and…