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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Simon, J. A Garding domain for representations of some Hilbert Lie groups. Lett Math Phys 1, 23–29 (1975). https://doi.org/10.1007/BF00405582
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DOI: https://doi.org/10.1007/BF00405582