On locally A-convex H*-algebras |
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| Authors: | Abdellah El Kinani |
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| Affiliation: | (1) Ecole Normale Supérieure, B.P.5118-Takaddoum, 10105 Rabat, Maroc |
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| Abstract: | We endow any proper A-convex H*-algebra (E, τ) with a locally pre-C*-topology. The latter is equivalent to that introduced by the pre C*-norm given by Ptàk function when (E, τ) is a Q-algebra. We also prove that the algebra of complex numbers is the unique proper locally A-convex H*-algebra which is barrelled and Q-algebra. |
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| Keywords: | Locally A-convex H*-algebra Locally uniformly A-convex H*-algebra Locally pre- C*-algebra Q-algebra Barrelled algebra |
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