2-universally complete Riesz spaces and inverse-closed Riesz spaces

DOI10.1016/S0019-3577(06)80022-4zbMath1113.46002MaRDI QIDQ2503004

Yanyan Li

Publication date: 13 September 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Archimedean Riesz space\(e\)-semisimple\(e\)-uniformly complete

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Riesz spaces of real continuous functions ⋮ Representation and approximation by series of continuous functions

Cites Work

• The support of certain Riesz pseudo-norms and the order-bound topology
• The order topology for function lattices and realcompactness
• Uniform approximation theorems for real-valued continuous functions
• Order topologies on \(l\)-algebras.
• Homomorphisms on function lattices
• Generation of uniformly closed algebras of functions
• Functions that operate on non-self-adjoint algebras
• On the structure of a class of archimedean lattice-ordered algebras
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