On functional representation of locally m -pseudoconvex algebras

Jorma Arhippainen

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-15

Abstract:

Functional representation of a topological algebra ( A , T ) has been studied in many papers under various assumptions for the topology T on A . Usually the image A ˆ of the Gelfand map has been equipped with the compact-open topology. This leads, in several cases, to such kind of difficulties as, for instance, that the Gelfand map is not necessarily continuous or that the compact-open topology is not of the same type as the topology T . In this paper, we study locally m -pseudoconvex algebras and provide A ˆ with such kind of topology that the above two claims are fulfilled. By using this representation the description of the closed ideals of ( A , T ) is studied.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:452386

DOI: 10.1155/S0161171299222235

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