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

Adran Mathemateg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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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

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	579-601
Nifer y tudalennau	23
Cyfnodolyn	Operators and Matrices
Cyfrol	12
Rhif cyhoeddi	2
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.7153/oam-2018-12-36
Statws	Cyhoeddwyd - 30 Meh 2018

Mynediad at Ddogfen

10.7153/oam-2018-12-36

Characteristic functions of Liftings-IIFersiwn derfynol wedi’i chyhoeddi, 282 KB

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Rolf Gohm
- rogaber.acuk
- Adran Mathemateg - Senior Lecturer
Unigolyn: Dysgu ac Ymchwil

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@article{38ff09e8f4004fe9a1064f13da04e551,

title = "Characteristic Functions of Liftings–II",

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",

author = "Santanu Dey and Rolf Gohm and Kalpesh Haria",

year = "2018",

month = jun,

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doi = "10.7153/oam-2018-12-36",

language = "English",

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journal = "Operators and Matrices",

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PY - 2018/6/30

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N2 - 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

AB - 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

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DO - 10.7153/oam-2018-12-36

M3 - Article

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VL - 12

SP - 579

EP - 601

JO - Operators and Matrices

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Characteristic Functions of Liftings–II

Crynodeb

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Rolf Gohm

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