Vector subspaces and operators with the Stone condition

DOI10.1007/s11117-010-0064-xzbMath1208.06006OpenAlexW2092070057MaRDI QIDQ618821

Fethi Ben Amor, Youssef Azouzi

Publication date: 17 January 2011

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0064-x

zbMATH Keywords

functional calculussubalgebra\(f\)-algebraslattice homomorphismorder bounded operatoralgebra homomorphism\(ru\)-closed vector subspaceoperating functionStone conditionvector sublattice

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

\(L^p\)-spaces with respect to conditional expectation on Riesz spaces, The sup-completion of a Dedekind complete vector lattice, Extreme contractive operators on Stone \(f\)-algebras

Cites Work

• Unnamed Item
• Die Stonesche Bedingung und die Äquivalenz der Integrationstheorien von M. H. Stone und N. Bourbaki
• Functional calculus on Riesz spaces
• Notes on the Stone property in vector lattices
• Subalgebras and Riesz Subspaces of an f -Algebra
• Sequentially Relatively Uniformly Complete Riesz Spaces and Vulikh Algebras
• Notes on Integration
• Notes on Integration