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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 3, Pages 62–70
DOI: https://doi.org/10.4213/faa3076 (Mi faa3076) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Joint Spectral Mapping Theorem for Sets of Semigroup Generators

A. R. Mirotin

Francisk Skorina Gomel State University
Full-text PDF (175 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3076
Abstract: In the context of the multidimensional functional calculus of semigroup generators, which is based on the class of Bernstein functions in several variables (and is also known as Bochner–Phillips multidimensional functional calculus), a spectral mapping theorem for the Taylor spectrum of a set of commuting generators is proved.
Keywords: multiparameter semigroup of operators, multidimensional functional calculus, Taylor spectrum, Bernstein function, spectral mapping theorem.
Received: 13.08.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 3, Pages 210–217
DOI: https://doi.org/10.1007/s10688-012-0026-0
Bibliographic databases:
Document Type: Article
UDC: 517.983.23
Language: Russian
Citation: A. R. Mirotin, “A Joint Spectral Mapping Theorem for Sets of Semigroup Generators”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 62–70; Funct. Anal. Appl., 46:3 (2012), 210–217
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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