A. E. Gutman, A. V. Koptev, “Weak lateral convergence in Banach spaces”, Sibirsk. Mat. Zh., 2026, Volume 67, Number 1,Pages <nobr>81

Weak lateral convergence in Banach spaces

A. E. Gutman, A. V. Koptev

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: Lateral convergence of sequences in Banach spaces endowed with the weak topology is described.

Keywords: separation, convergent sequence, Banach space, weak topology, separability.

UDC: 517.98

Received: 07.10.2025
Revised: 24.11.2025
Accepted: 30.11.2025

DOI: 10.33048/smzh.2026.67.106