Multiplicative order convergence in $f$-algebras

DOI10.15672/hujms.512073zbMath1488.46006arXiv1901.04043OpenAlexW3102855228MaRDI QIDQ5163246

Abdullah Aydın

Publication date: 3 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04043

zbMATH Keywords

\(f\)-algebravector lattice\(mo\)-convergence\(mo\)-KB-space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ordered topological linear spaces, vector lattices (46A40)

Related Items (7)

STATISTICAL UNBOUNDED ORDER CONVERGENCE IN RIESZ SPACES ⋮ The Chebyshev set problem in Riesz space ⋮ Statistically multiplicative convergence on locally solid Riesz algebras ⋮ The multiplicative norm convergence in normed Riesz algebras ⋮ Full lattice convergence on Riesz spaces ⋮ THE STATISTICAL MULTIPLICATIVE ORDER CONVERGENCE IN RIESZ ALGEBRAS ⋮ Unnamed Item

Cites Work

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• Compact-like operators in lattice-normed spaces
• Unbounded \(p\)-convergence in lattice-normed vector lattices
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Nonstandard hulls of lattice-normed ordered vector spaces

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