E. M. Semenov, F. A. Sukochev, A. Usachev, “The main classes of invariant Banach limits”, Izv. RAN. Ser. Mat., 2019, Volume 83, Issue 1,Pages <nobr>140

This article is cited in 1 paper

The main classes of invariant Banach limits

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

^a Voronezh State University
^b University of New South Wales, School of Mathematics and Statistics, Sidney, Australia
^c Department of Mathematical Sciences, Chalmers University of Technology and the University of Göteborg, Göteborg, Sweden

Abstract: We study functional characteristics and extreme points of the set of Banach limits on the space of bounded sequences. We also consider Banach limits with additional invariance properties with respect to the dilation operator and the Cesàro operator.

Keywords: invariant Banach limits, extreme points, Cesàro operator, dilation operator.

UDC: 517.982.22

MSC: 46B15, 46B45

Received: 28.07.2017

DOI: 10.4213/im8704