Strict Topologies as Topological Algebras |
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| Authors: | Surjit Singh Khurana |
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| Institution: | (1) Department of Mathematics, Univerisity of Iowa, Iowa City, Iowa, 52242 |
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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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| Keywords: | strict topologies locally convex algebras locally m-convex algebras |
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