Asymptotically equivalent nets: a survey
JOURNAL OF MATHEMATICAL SCIENCES, vol.289, no.6, pp.944-954, 2025 (Scopus)
- Publication Type: Article / Review
- Volume: 289 Issue: 6
- Publication Date: 2025
- Doi Number: 10.1007/s10958-025-07741-0
- Journal Name: JOURNAL OF MATHEMATICAL SCIENCES
- Journal Indexes: Scopus, MathSciNet, zbMATH
- Page Numbers: pp.944-954
- Hacettepe University Affiliated: Yes
Abstract
The focus of this review article is an algebraic and analytic analysis of operator nets. After discussing the asymptotic equivalence of nets on convergence vector lattices, we investigate Lotz-Räbiger’s nets on Banach spaces and Banach lattices. Additionally, we offer a short overview of the nonstandard approach to absorbing nets.