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Locally M-Pseudoconvex Topologies on Locally A-Pseudoconvex Algebras

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Abstract

Let (A, T) be a locally A-pseudoconvex algebra over \({\mathbb{R}}\) or \({\mathbb{C}}\). We define a new topology m(T) on A which is the weakest among all m-pseudoconvex topologies on A stronger than T. We describe a family of non-homogeneous seminorms on A which defines the topology m(T).

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Authors and Affiliations

  1. Institute of Pure Mathematics, Univ. of Tartu, Estonia

    M. Abel & J. Arhippainen

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  1. M. Abel
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  2. J. Arhippainen
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Abel, M., Arhippainen, J. Locally M-Pseudoconvex Topologies on Locally A-Pseudoconvex Algebras. Czechoslovak Mathematical Journal 54, 675–680 (2004). https://doi.org/10.1007/s10587-004-6416-6

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  • DOI: https://doi.org/10.1007/s10587-004-6416-6

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