Completely almost periodic functionals

Volker Runde

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arXiv · 1011.4270

Completely almost periodic functionals

Volker Runde

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Abstract

Using the notion of complete compactness introduced by H. Saar, we define completely almost periodic functionals on completely contractive Banach algebras. We show that, if $(M,\Gamma)$ is a Hopf--von Neumann algebra with $M$ injective, then the space of completely almost periodic functionals on $M_\ast$ is a $C^\ast$-subalgebra of $M$.

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BibTeX RIS

Volker Runde. 2010-11-18. Completely almost periodic functionals. https://arxiv.org/abs/1011.4270

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