Characteristic functions of liftings–II

Authors

Santanu Dey, Indian Institute of Technology Bombay
Rolf Gohm, Aberystwyth University
Kalpesh J. Haria, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Operators and Matrices

Abstract

We prove that the symbol of the characteristic function of a minimal contractive lifting is an injective map and that the converse also holds, using explicit computation and functional models. We discuss when the characteristic function of a lifting is a polynomial and present a series representation for the characteristic functions of liftings.

First Page

579

Last Page

601

DOI

10.7153/OAM-2018-12-36

Publication Date

6-1-2018

Comments

All Open Access, Bronze, Green

Recommended Citation

Dey, Santanu; Gohm, Rolf; and Haria, Kalpesh J., "Characteristic functions of liftings–II" (2018). Journal Articles. 1351.
https://digitalcommons.isical.ac.in/journal-articles/1351