New Properties of the Multivariable H-infinity Functional Calculus of Sectorial Operators

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TitreNew Properties of the Multivariable H-infinity Functional Calculus of Sectorial Operators
Type de publicationJournal Article
Year of Publication2021
AuteursArrigoni O, Le Merdy C
JournalINTEGRAL EQUATIONS AND OPERATOR THEORY
Volume93
Pagination39
Date PublishedAUG
Type of ArticleArticle
ISSN0378-620X
Mots-clésdilations, Functional calculus, semigroups
Résumé

{This paper is devoted to the multivariable H-infinity functional calculus associated with a finite commuting family of sectorial operators on Banach space. First we prove that if (A(1), ... , A(d)) is such a family, if A(k) is R-sectorial of R-type omega(k) is an element of (0, pi)
DOI10.1007/s00020-021-02655-3