Completely almost periodic functionals

Details Completely almost periodic functionals Completely almost periodic functionals

2010-11-18

arxiv.org/abs/1011.4270v2

Arch. Math. (Basel) 97 (2011), 325-331

Mathematics

Functional Analysis

8 pages; some corrections

Scientific paper

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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