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A generation theorem for operators commuting with group actions

Published online by Cambridge University Press:  24 October 2008

E. B. Davies
E. B. Davies
Affiliation:
Department of Mathematics, King's College, London WC2R 2LS
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Abstract

We prove that an unbounded operator Z on a Banach space , which commutes with a representation of a Lie group G, is the generator of a contraction semigroup, under conditions on Z and G which have not previously been investigated. The case of an unbounded derivation Z on a C*-algebra is considered in particular detail.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 2 , September 1984 , pp. 313 - 320
Copyright
Copyright © Cambridge Philosophical Society 1984

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