2011Studia MathematicaOpen access

Haar measure and continuous representations of locally compact abelian groups

Jean-Christophe Tomasi

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Abstract

Let $\mathcal{L}(X)$ be the algebra of all bounded operators on a Banach space $X$, and let $\theta:G\rightarrow \mathcal{L}(X)$ be a strongly continuous representation of a locally compact and second countable abelian group $G$ on $X$. Set $\sigma^1(\

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Let $\mathcal{L}(X)$ be the algebra of all bounded operators on a Banach space $X$, and let $\theta:G\rightarrow \mathcal{L}(X)$ be a strongly continuous representation of a locally compact and second countable abelian group $G$ on $X$. Set $\sigma^1(\

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Available abstract

Let $\mathcal{L}(X)$ be the algebra of all bounded operators on a Banach space $X$, and let $\theta:G\rightarrow \mathcal{L}(X)$ be a strongly continuous representation of a locally compact and second countable abelian group $G$ on $X$. Set $\sigma^1(\

Key concepts: Mathematics, Locally compact space, Locally compact group, Abelian group, Haar measure, Bounded function, Second-countable space, Countable set

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