Asymptotically equivalent nets: a survey

Emelyanov E., Erkurşun Özcan N.

JOURNAL OF MATHEMATICAL SCIENCES, cilt.289, sa.6, ss.944-954, 2025 (Scopus)

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 289 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s10958-025-07741-0
  • Dergi Adı: JOURNAL OF MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.944-954
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.