Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices

zbMath1474.46007arXiv1710.11434MaRDI QIDQ4988608

Niyazi Anıl Gezer, Omid Zabeti, Nazife Erkurşun Özcan

Publication date: 17 May 2021

Full work available at URL: https://arxiv.org/abs/1710.11434

zbMATH Keywords

locally solid vector lattice\(u\tau\)-compact operator\(u\tau\)-convergence\(u\tau\)-Dunford-Pettis operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items (5)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ A note on the relationship between three classes of operators on Riesz spaces ⋮ Тип теоремы Кренгеля для компактных операторов между локально плотными векторными решетками ⋮ \(AM\)-spaces from a locally solid vector lattice point of view with applications ⋮ A few remarks on bounded homomorphisms acting on topological lattice groups and topological rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unbounded norm topology in Banach lattices
• Measures of non-compactness of operators on Banach lattices
• Unbounded norm convergence in Banach lattices
• Topological algebras of locally solid vector subspaces of order bounded operators
• Compact-like operators in lattice-normed spaces
• Unbounded absolute weak convergence in Banach lattices
• \(um\)-topology in multi-normed vector lattices
• \(u\tau \)-convergence in locally solid vector lattices
• 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
• A few remarks on bounded operators on topological vector spaces

This page was built for publication: Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices