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On unitary representations of groups of isometries

V. V. Uspenskij
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Abstract

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.

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V. V. Uspenskij. 2004-06-13. On unitary representations of groups of isometries. https://arxiv.org/abs/math/0406253

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