Characterization of hyper-Archimedean vector lattices via disjointness preserving bilinear maps

DOI10.1007/s00012-012-0166-3zbMath1257.06012OpenAlexW2048861369MaRDI QIDQ664311

Moahamed Ali Toumi

Publication date: 1 March 2012

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-012-0166-3

zbMATH Keywords

\(f\)-algebrabilinear maphyper-Archimedean vector latticepreservation of disjointness

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Averaging operators and continuous projections on \(f\)-algebras, Характеризация конечномерных архимедовых векторных решеток

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The space of extended orthomorphisms in a Riesz space
• On concavity and supermodularity
• On orthosymmetric bilinear maps
• Bounded variation and tensor products of Banach lattices
• Almost \(f\)-algebras: Commutativity and the Cauchy-Schwarz inequality
• A relationship between two almost \(f\)-algebra products
• Uniformly hyperarchimedean lattice-ordered groups
• Archimedean quotient Riesz spaces
• Yosida frames
• A Note on Disjointness Preserving Operators
• Almost f-algebras and d-algebras
• Dimension in algebraic frames
• WHEN LATTICE HOMOMORPHISMS OF ARCHIMEDEAN VECTOR LATTICES ARE RIESZ HOMOMORPHISMS
• The order boundedness of band preserving operators on uniformly complete vector lattices
• Epi-archimedean groups
• Squares of Riesz spaces