, Volume 46, Issue 3, pp 210-217
Date: 14 Sep 2012

A joint spectral mapping theorem for sets of semigroup generators

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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.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 46, No. 3, pp. 62–70, 2012
Original Russian Text Copyright © by A. R. Mirotin
This work was financially supported by the State Program for Fundamental Research of Republic of Belarus, contract no. 20061473.