E. M. Semenov, F. A. Sukochev, “Characteristic functions of Banach limits”, Sibirsk. Mat. Zh., 2010, Volume 51, Number 4,Pages <nobr>904

This article is cited in 5 papers

Characteristic functions of Banach limits

E. M. Semenov^a, F. A. Sukochev^b

^a Voronezh State University, Voronezh, Russia
^b University of New South Wales, Sydney, Australia

Abstract: We study the functions $\{B(r_n(t))\}$, where $B$ is a Banach limit and $\{r_n(t)\}$ are Rademacher functions.

Keywords: Banach limit, Rademacher system, diameter and radius of a set.

UDC: 517.982

Received: 30.08.2009