4 papers · 1 filter
-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 Foiaş, and d…
Functional Models and Minimal Contractive Liftings
Santanu Dey, Rolf Gohm, Kalpesh J. Haria
Based on a careful analysis of functional models for contractive multi-analytic operators we establish a one-to-one correspondence between unitary equivalence classes of minimal co…
Outgoing Cuntz Scattering System for a Coisometric Lifting and Transfer Function
Kalpesh J. Haria
We study a coisometry that intertwines Popescu's presentations of minimal isometric dilations of a given operator tuple and of a coisometric lifting of the tuple. Using this we dev…
Generalized repeated interaction model and transfer functions
Santanu Dey, Kalpesh J. Haria
Using a scheme involving a lifting of a row contraction we introduce a toy model of repeated interactions between quantum systems. In this model there is an outgoing Cuntz scatteri…