A. S. Usachev, “Extreme points of the set of dilation–invariant banach limits”, Sibirsk. Mat. Zh., 2020, Volume 61, Number 5,Pages <nobr>1122

Extreme points of the set of dilation–invariant banach limits

A. S. Usachev

Central South University, Changsha

Abstract: We prove that the set of extreme points of the set of dilation–invariant Banach limits is unclosed in the weak$^*$ topology.

Keywords: Banach limits, dilation, extreme points.

UDC: 517.982.22

MSC: 35R30

Received: 18.03.2020
Revised: 06.06.2020
Accepted: 17.06.2020

DOI: 10.33048/smzh.2020.61.513