On unitary representations of groups of isometries

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Is the topological group of all motions (including translations) of an infinite-dimensional Hilbert space $H$ isomorphic to a subgroup of the unitary group $U(H)$? This question was asked by Su Gao. We answer the question in the affirmative.
4 pages

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Representation Theory, 43A65, 43A35, 22D10, 54E35

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http://salesiana.dossiersoluciones.com/handle/123456789/71542

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406253
 http://arxiv.org/abs/math/0406253

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arXiv