Characteristic Functions of Liftings–II

Santanu Dey, Rolf Gohm, Kalpesh Haria

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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
Original languageEnglish
Pages (from-to)579-601
Number of pages23
JournalOperators and Matrices
Volume12
Issue number2
DOIs
Publication statusPublished - 30 Jun 2018

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