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Strict Topologies as Topological Algebras

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Abstract

Let X be a completely regular Hausdorff space, Cb(X) the space of all scalar-valued bounded continuous functions on X with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally m-convex.

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Authors and Affiliations

  1. Department of Mathematics, Univerisity of Iowa, Iowa City, Iowa, 52242

    Surjit Singh Khurana

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  1. Surjit Singh Khurana
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Khurana, S.S. Strict Topologies as Topological Algebras. Czechoslovak Mathematical Journal 51, 433–437 (2001). https://doi.org/10.1023/A:1013794801609

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