U-algebras and the Hahn–Banach extension theorem

DOI10.1017/S0308210500022125zbMath0631.46003MaRDI QIDQ3767833

Boris Lavrič

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

U-algebraArchimedean unital f-algebraextension theorem of Hahn-Banach type on modules over a uniformly complete U-algebra and over the complexification of a Dedekind complete unital f-algebra

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Perturbation theory of linear operators (47A55) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

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Cites Work

• Unital embedding and complexifications of F-algebras
• Subalgebras and Riesz Subspaces of an f -Algebra