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Topological bimodule-algebras. (English) Zbl 1077.46045

Arhippainen, Jorma (ed.) et al., Proceedings of the 3rd international conference on topological algebra and applications, University of Oulu, Finland, July 2–6, 2001. Oulu: Oulu University Press (ISBN 951-42-7248-X/pbk; 951-42-7249-8/pdf). Acta Universitatis Ouluensis. Series A. Scientiae Rerum Naturalium 408, 25-42 (2004).
Summary: Several examples of topological bimodule-algebras are presented. Conditions for a topological \((A,B,\mathbb{K})\)-algebra \(C\) in order that the spaces \(\text{hom}\,C\) and \(\text{hom}\,A\times\text{hom} \,B\) are homeomorphic are found. As an application of this result, a description of \(\text{hom}\,C\) for several topological algebras of vector-valued functions is given.
For the entire collection see [Zbl 1050.46002].

MSC:

46H05 General theory of topological algebras
46H20 Structure, classification of topological algebras
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