Completely almost periodic functionals

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 $M$.

8 pages; some corrections

References in corpus (2)

• Matrix Compact Sets and Operator Approximation Properties
• Compactness properties of operator multipliers