Integrating representations of Banach--Lie algebras
Representation Theory
2011-02-02 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
We give two integrability criteria for representations of Banach--Lie algebras as skew-symmetric unbounded operators on a dense domain of a Hilbert space.
Keywords
Cite
@article{arxiv.1003.0999,
title = {Integrating representations of Banach--Lie algebras},
author = {Stéphane Merigon},
journal= {arXiv preprint arXiv:1003.0999},
year = {2011}
}
Comments
10 pages, minor corrections. The proof of Prop. 10 is made more elementary (the Trotter-Kato Approximation Thm is not used anymore). To appear in Journal of Functional Analysis