Characteristic Functions of Liftings–II

Santanu Dey; Rolf Gohm; Kalpesh Haria

doi:10.7153/oam-2018-12-36

Characteristic Functions of Liftings–II

Santanu Dey, Rolf Gohm, Kalpesh Haria

Department of Mathematics

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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 language	English
Pages (from-to)	579-601
Number of pages	23
Journal	Operators and Matrices
Volume	12
Issue number	2
DOIs	https://doi.org/10.7153/oam-2018-12-36
Publication status	Published - 30 Jun 2018

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Rolf Gohm
- rogaber.acuk
- Faculty of Business and Physcial Sciences, Department of Mathematics - Senior Lecturer
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Characteristic Functions of Liftings–II

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