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Une classe d'algèbres de Fréchet à caractères continus

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Abstract

We prove in a simpler and direct manner using the spectral theory that every Fréchet algebra which is rationnally generated by a real or orthogonal subset is functionally continuous. These results include as a special case the results of R. Arens, H. Goldmann, E. A. Michael and W. Zelazko.

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Authors and Affiliations

  1. Faculté des Sciences Département de Mathématiques, Université Mohammed V, B.P 1014, Rabat, Maroc

    Z. Abdelali & M. Chidami

  2. Département de Mathematiques pures, Université de Bordeaux I, 345 cours de la libération, 33405, Talence cedex, France

    M. Akkar

Authors
  1. Z. Abdelali
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  2. M. Akkar
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  3. M. Chidami
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Abdelali, Z., Akkar, M. & Chidami, M. Une classe d'algèbres de Fréchet à caractères continus. Rend. Circ. Mat. Palermo 50, 199–208 (2001). https://doi.org/10.1007/BF02843929

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  • DOI: https://doi.org/10.1007/BF02843929

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