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Local left invertibility for operator tuples and noncommutative localizations

Published online by Cambridge University Press:  04 September 2008

Anar Dosiev
Affiliation:
Middle East Technical University NCC, Guzelyurt KKTC Mersin 10, Turkey, [email protected].
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Abstract

In the paper we propose an operator approach to the noncommutative Taylor localization problem based on the local left invertibility for operator tuples acting on a Fréchet space. We prove that the canonical homomorphism of the universal enveloping algebra of a nilpotent Lie algebra into its Arens-Michael envelope is the Taylor localization whenever has normal growth.

Type
Research Article
Copyright
Copyright © ISOPP 2008

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