Order compact and unbounded order compact operators

DOI10.3906/MAT-2004-68OpenAlexW3145330410MaRDI QIDQ5100232

Şaziye Ece Özdemir, İrem Mesude Urgancı, Niyazi Anıl Gezer, Nazife Erkurşun Özcan

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2004-68

zbMATH Keywords

compact operatorvector latticeunbounded order convergence

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ On orthogonally additive operators in \(C\)-complete vector lattices

Cites Work

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• Narrow operators on lattice-normed spaces
• Homomorphisms of Riesz spaces
• Unbounded norm convergence in Banach lattices
• Compact-like operators in lattice-normed spaces
• \(u\tau \)-convergence in locally solid vector lattices
• Unbounded asymptotic equivalences of operator nets with applications
• 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
• Completeness for vector lattices
• Ergodic theorems in semi-ordered linear spaces

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