Corona solutions depending smoothly on corona data

Sergei Treil; Brett D. Wick

doi:10.1007/978-1-4939-1255-1_10

Corona solutions depending smoothly on corona data

Sergei Treil
, Brett D. Wick

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract In this note we show that if the Corona data depends continuously (smoothly) on a parameter, the solutions of the corresponding Bezout equations can be chosen to have the same smoothness in the parameter.

Original language	English
Pages (from-to)	201-209
Number of pages	9
Journal	Fields Institute Communications
Volume	72
DOIs	https://doi.org/10.1007/978-1-4939-1255-1_10
State	Published - 2014

Keywords

Bezout equation
Corona problem

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10.1007/978-1-4939-1255-1_10

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title = "Corona solutions depending smoothly on corona data",

abstract = "Abstract In this note we show that if the Corona data depends continuously (smoothly) on a parameter, the solutions of the corresponding Bezout equations can be chosen to have the same smoothness in the parameter.",

keywords = "Bezout equation, Corona problem",

author = "Sergei Treil and Wick, \{Brett D.\}",

note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media New York 2014.",

year = "2014",

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language = "English",

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AU - Treil, Sergei

AU - Wick, Brett D.

N1 - Publisher Copyright: © Springer Science+Business Media New York 2014.

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Y1 - 2014

N2 - Abstract In this note we show that if the Corona data depends continuously (smoothly) on a parameter, the solutions of the corresponding Bezout equations can be chosen to have the same smoothness in the parameter.

AB - Abstract In this note we show that if the Corona data depends continuously (smoothly) on a parameter, the solutions of the corresponding Bezout equations can be chosen to have the same smoothness in the parameter.

KW - Bezout equation

KW - Corona problem

UR - https://www.scopus.com/pages/publications/84958759531

U2 - 10.1007/978-1-4939-1255-1_10

DO - 10.1007/978-1-4939-1255-1_10

M3 - Article

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SN - 1069-5265

VL - 72

SP - 201

EP - 209

JO - Fields Institute Communications

JF - Fields Institute Communications

ER -

Corona solutions depending smoothly on corona data

Abstract

Keywords

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