R. E. Zvolinskii, E. M. Semenov, “The subspace of almost convergent sequences”, Sibirsk. Mat. Zh., 2021, Volume 62, Number 4,Pages <nobr>758

This article is cited in 1 paper

The subspace of almost convergent sequences

R. E. Zvolinskii, E. M. Semenov

Voronezh State University, Voronezh, Russia

Abstract: A bounded sequence of reals is called almost convergent if all Banach limits take the same value at it. We study the space of almost convergent sequences and operators related to this space.

Keywords: almost convergent sequence, Banach limits, space of bounded sequences.

UDC: 517.982.22

Received: 27.03.2021
Revised: 27.03.2021
Accepted: 14.04.2021

DOI: 10.33048/smzh.2021.62.405