Unbounded \(p\)-convergence in lattice-normed vector lattices

DOI10.3103/S1055134419030027zbMath1444.46004arXiv1609.05301WikidataQ127312892 ScholiaQ127312892MaRDI QIDQ2190770

Yanyan Li

Publication date: 22 June 2020

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05301

zbMATH Keywords

\(uo\)-convergence\(un\)-convergencelattice-normed vector lattice

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)

Related Items (9)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ Unnamed Item ⋮ Nonstandard hulls of lattice-normed ordered vector spaces ⋮ On Compact Operators Between Lattice Normed Spaces ⋮ Multiplicative order convergence in $f$-algebras ⋮ The multiplicative norm convergence in normed Riesz algebras ⋮ Full lattice convergence on Riesz spaces ⋮ Неограниченные сходимости в конвергентных векторных решетках ⋮ Неограниченная порядковая сходимость и теорема Гордона

Cites Work

• Unnamed Item
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• Unbounded norm topology in Banach lattices
• Measures of non-compactness of operators on Banach lattices
• Komlós properties in Banach lattices
• Duality for unbounded order convergence and applications
• Unbounded norm convergence in Banach lattices
• Compact-like operators in lattice-normed spaces
• Some loose ends on unbounded order convergence
• Unbounded absolute weak convergence in Banach lattices
• \(um\)-topology in multi-normed vector lattices
• \(u\tau \)-convergence in locally solid vector lattices
• Infinitesimal analysis and vector lattices
• On unbounded order convergence
• Unbounded order convergence in dual spaces
• Unbounded order convergence and application to martingales without probability
• Partially ordered linear spaces and locally convex linear topological spaces
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Ergodic theorems in semi-ordered linear spaces
• Completeness of unbounded convergences
• Nonstandard hulls of lattice-normed ordered vector spaces
• The Brezis-Lieb lemma in convergence vector lattices
• Неограниченные сходимости в конвергентных векторных решетках

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