A few remarks on bounded homomorphisms acting on topological lattice groups and topological rings

DOI10.2298/FIL2009897ZzbMath1499.54144arXiv1811.04296OpenAlexW3134042978MaRDI QIDQ5866217

Omid Zabeti

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04296

zbMATH Keywords

completenessFatou propertytopological ringbounded homomorphismunbounded topologylocally solid \(\ell\)-group

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Positive linear operators and order-bounded operators (47B65) Topological rings and modules (13J99) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Cites Work

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• \(u\tau \)-convergence in locally solid vector lattices
• Unbounded topologies and \textit{uo}-convergence in locally solid vector lattices
• Lattice-ordered groups
• Bounded operators on topological vector spaces and their spectral radii
• Locally solid topological lattice-ordered groups
• Решеточная структура в пространстве ограниченных гомоморфизмов между топологическими решеточно упорядоченными кольцами
• Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices
• Topological groups of bounded homomorphisms on a topological group

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