Abstract
As was mentioned in n° 15 and 23, a representation of a lcg G is a homomorphism \(x\mapsto\;U(x)\) from G to the group of invertible continuous operators of a Banach space \( \mathcal{H}\) such that the map \( x\longmapsto\;U(x)\boldsymbol{\rm{a}}\) is continuous for all \(\boldsymbol{\rm{a}} \in \mathcal{H}\).
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© 2015 Springer International Publishing Switzerland
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Godement, R. (2015). Unitary Representations of Locally Compact Groups. In: Analysis IV. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-16907-1_8
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DOI: https://doi.org/10.1007/978-3-319-16907-1_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16906-4
Online ISBN: 978-3-319-16907-1
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