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On locally A-convex H*-algebras

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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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  1. Ecole Normale Supérieure, B.P.5118-Takaddoum, 10105, Rabat, Maroc

    Abdellah El Kinani

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  1. Abdellah El Kinani
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Correspondence to Abdellah El Kinani.

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El Kinani, A. On locally A-convex H*-algebras. Rend. Circ. Mat. Palermo 57, 229–238 (2008). https://doi.org/10.1007/s12215-008-0016-5

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  • DOI: https://doi.org/10.1007/s12215-008-0016-5

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