Using the recently developed notion of a Herz-Schur multiplier C*-dynamical system we introduce weak amenability C*- and W*-dynamical systems. As special case recover Haagerup's characterisation discrete group. We also consider generalisation Fourier algebra its multipliers to crossed products.

Given a C ⁎ -dynamical system ( A , G α ) with discrete group, Schur -multipliers and Herz–Schur are used to implement approximation properties, namely exactness the strong operator property (SOAP), of ⋊ r . The resulting characterisations SOAP generalise corresponding statements for reduced group -algebra.

In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.

Silke Kullmann ([email protected]) Priska Binner ([email protected]) Kirsten Rackebrandt ([email protected]) Andreas Huge ([email protected]) Georg Haltern ([email protected]) Mark Lankisch ([email protected]) Reiner Fueth ([email protected]) Eberhard von Hodenberg (eberhard.hodenberg@heart-l...

This study examined the intestinal antibody response in 26 healthy volunteers challenged with Cryptosporidium parvum oocysts. Fecal extracts were assayed for total secretory immunoglobulin A (IgA) and C. parvum-specific IgA reactivity. Specific IgA reactivity was standardized to IgA concentration and expressed as a reactivity index (RI). Anti-C. parvum fecal IgA (fIgA) increased significantly i...

This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained resul...