On unitary representations of groups of isometries

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.

arXiv comment4 pages

References in corpus (3)

• On subgroups of minimal topological groups
• Topological groups: where to from here?
• Compactifications of topological groups

Cited by in corpus (1)

• Embeddability, representability and universality involving Banach spaces