A Garding domain for representations of some Hilbert Lie groups |
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Authors: | Jacques Simon |
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Affiliation: | 1. Laboratoire de Physique-Mathématique, Faculté des Sciences Mirande, Université de Dijon, 21 000, Dijon, France
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Abstract: | Given a Banach representation of a Hilbert Lie group, the Lie algebra (mathfrak{G}) of which is the closure of the union of an increasing sequence of finite dimensional subalgebras, we construct a Gårding domain on which we differentiate the group representation to a representation of a dense subalgebra of (mathfrak{G}) . |
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