The multiplicative norm convergence in normed Riesz algebras

DOI10.15672/HUJMS.638900zbMath1488.46007OpenAlexW3043732642MaRDI QIDQ5164410

Abdullah Aydın

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.15672/hujms.638900

zbMATH Keywords

Riesz spacesRiesz algebranormed Riesz algebra\(mo\)-convergence\(mn\)-convergence\(mn\)-topology

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 (3)

Statistically multiplicative convergence on locally solid Riesz algebras ⋮ Full lattice convergence on Riesz spaces ⋮ THE STATISTICAL MULTIPLICATIVE ORDER CONVERGENCE IN RIESZ ALGEBRAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measures of non-compactness of operators on Banach lattices
• Unbounded norm convergence in Banach lattices
• Compact-like operators in lattice-normed spaces
• \(u\tau \)-convergence in locally solid vector lattices
• Unbounded \(p\)-convergence in lattice-normed vector lattices
• Unbounded order convergence and application to martingales without probability
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Ideal Theory in f-Algebras
• Nonstandard hulls of lattice-normed ordered vector spaces
• Multiplicative order convergence in $f$-algebras

This page was built for publication: The multiplicative norm convergence in normed Riesz algebras