A note on the relationship between three classes of operators on Riesz spaces

DOI10.2478/AWUTM-2019-0016OpenAlexW3115563076MaRDI QIDQ2678678

Liang Hong

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.08016

zbMATH Keywords

counterexamplesregular operatorsorder bounded operatorslocally solid Riesz spacestopologically bounded operatorstopologically continuous operators

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Topological lattices (06B30) Ordered topological structures (06F30) Ordered topological linear spaces, vector lattices (46A40)

Cites Work

• Topological algebras of locally solid vector subspaces of order bounded operators
• On Order Properties of Order Bounded Transformations
• Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices
• On Order Bounded Subsets of Locally Solid Riesz Spaces
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