Invariant Banach limits and singular traces

R. E. Zvolinskii^a, E. M. Semenov^a, A. S. Usachev<sup>b

a</sup> Voronezh State University, Voronezh, Russia
^b Central South University, Changsha, China

Abstract: We study the geometry of subsets of Banach limits and Cesàro invariant Banach limits. The results are applied to the theory of singular traces.

Keywords: Banach limits, functional characteristic, invariant Banach limits, singular traces.

UDC: 517.982.22

MSC: 35R30

Received: 07.07.2024
Revised: 19.08.2024
Accepted: 20.08.2024

DOI: 10.33048/smzh.2024.65.608

 English version: Siberian Mathematical Journal, 2024, 65:6, 1336–1342