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Fréchet algebras of finite type

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Abstract

The main objects of study in this paper are Fréchet algebras having an Arens Michael representation in which every Banach algebra is finite dimensional. We shall classify these algebras using a theorem which ensures that the image of any continuous linear map of a Fréchet space of finite type (i.e., for which the defining seminorms have a finite dimensional cokernel) into any Fréchet space is in fact closed.

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Authors and Affiliations

  1. Laboratoire d’Analyse et Géométrie UMR 5467, Université Bordeaux 1, 351 Cours de la libération, F-33451, Talence, Cedex, France

    M. K. Kopp

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  1. M. K. Kopp
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Correspondence to M. K. Kopp.

Additional information

This work is part of the research project of the European Research Training Network ‘Analysis and Operators’, contract HPRN-CT 2000 00116, funded by the European Commission.

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Kopp, M.K. Fréchet algebras of finite type. Arch. Math. 83, 217–228 (2004). https://doi.org/10.1007/s00013-004-1030-2

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  • DOI: https://doi.org/10.1007/s00013-004-1030-2

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