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U-algebras and the Hahn–Banach extension theorem*
Published online by Cambridge University Press: 14 November 2011
Synopsis
An Archimedean unital f-algebra A is called a U-algebra if, for every a∊A, there exists an invertible element u∊A such that a = u |a|. Characterisations of a U-algebra are established. As an application, an extension theorem of Hahn–Banach type on modules over a U-algebra and over the complexification of a Dedekind complete unital f-algebra is given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 307 - 317
- Copyright
- Copyright © Royal Society of Edinburgh 1987
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