Full lattice convergence on Riesz spaces

DOI10.1016/j.indag.2021.01.008zbMath1475.46003arXiv2004.04879OpenAlexW3132527316MaRDI QIDQ2020432

S. G. Gorokhova, Abdullah Aydın, Eduard Yu. Emel'yanov

Publication date: 23 April 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04879

zbMATH Keywords

\(f\)-algebraRiesz spacefull convergencelattice convergencemultiplicative \(\mathbf{c}\)-convergenceunbounded \(\mathbf{c}\)-convergence

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ordered topological linear spaces, vector lattices (46A40)

Related Items (8)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ The Chebyshev set problem in Riesz space ⋮ Statistical convergence of nets on locally solid Riesz spaces ⋮ Net convergence structures with applications to vector lattices ⋮ Statistically multiplicative convergence on locally solid Riesz algebras ⋮ Locally solid convergences and order continuity of positive operators ⋮ Relative uniform convergence in vector lattices: odds and ends ⋮ THE STATISTICAL MULTIPLICATIVE ORDER CONVERGENCE IN RIESZ ALGEBRAS

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