Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 210-217

First online:

A joint spectral mapping theorem for sets of semigroup generators

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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.

Key words

multiparameter semigroup of operators multidimensional functional calculus Taylor spectrum Bernstein function spectral mapping theorem