Completely almost periodic functionals

Volker Runde

Completely almost periodic functionals

Functional Analysis 2011-11-17 v2

Authors: Volker Runde

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 $M$ .

Keywords

von neumann algebras banach spaces

Cite

@article{arxiv.1011.4270,
  title  = {Completely almost periodic functionals},
  author = {Volker Runde},
  journal= {arXiv preprint arXiv:1011.4270},
  year   = {2011}
}

Comments

8 pages; some corrections

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