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Unitary Representations of Locally Compact Groups II

F. I. Mautner

Open publisher page 137 citations

Abstract

We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable Hilbert space ,. Let us form the smallest weakly closed self-adjoint algebra W of bounded linear operators on ! which

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What this paper is about

We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable Hilbert space ,. Let us form the smallest weakly closed self-adjoint algebra W of bounded linear operators on ! which

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OpenAlex reports 137 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable Hilbert space ,. Let us form the smallest weakly closed self-adjoint algebra W of bounded linear operators on ! which

Key concepts: Mathematics, Unitary group, Unitary state, Unitary representation, Locally compact group, Hilbert space, Locally compact space, Unitary operator

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