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

DOI10.1007/s11117-022-00866-5OpenAlexW3102187619WikidataQ114223789 ScholiaQ114223789MaRDI QIDQ2154921

Yang Deng, M. F. E. de Jeu

Publication date: 15 July 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03768

zbMATH Keywords

orthomorphismorder convergenceunbounded order convergenceuo-Lebesgue topologyvector lattice algebra of operators

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) 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) Ordered rings, algebras, modules (06F25)

Related Items (1)

Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices

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