Convergence structures and locally solid topologies on vector lattices of operators

DOI10.1007/s43037-021-00124-yOpenAlexW3175966265WikidataQ114216115 ScholiaQ114216115MaRDI QIDQ2042381

Yang Deng, M. F. E. de Jeu

Publication date: 29 July 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05379

zbMATH Keywords

Banach latticeorthomorphismvector latticeorder convergenceunbounded order convergenceabsolute strong operator topologyuniform order boundedness principleUo-Lebesgue topology

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items

Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators

Cites Work

• Banach lattices
• On lattice isomorphisms with positive real spectrum and groups of positive operators
• Metrizability of minimal and unbounded topologies
• Some loose ends on unbounded order convergence
• Compact groups of positive operators on Banach lattices
• Unbounded order convergence and application to martingales without probability
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Unbounded topologies and \textit{uo}-convergence in locally solid vector lattices
• On Sequential Convergence
• The Coarsest Hausdorff Lebesgue Topology
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