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Groupe Des Inversibles Et Rayon Spectral Dans Les Algèbres Topologiques

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Abstract

We deal with the relationship between the spectral radius and the topological bihaviour of the group of invertible elements in a topological algebra, introducing accordingly several types of (generalized Q-) algebras. We then give properties and characterizations of such algebras. Applications to weighted algebras as well as several classes of examples are provided.

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Authors and Affiliations

  1. Département de Mathématique, Ecole Normale Supérieure, B. P. 5118, Takaddoum, 10105, Rabat, Maroc

    H. El Adlouni & L. Oubbi

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  1. H. El Adlouni
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  2. L. Oubbi
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El Adlouni, H., Oubbi, L. Groupe Des Inversibles Et Rayon Spectral Dans Les Algèbres Topologiques. Rend. Circ. Mat. Palermo 49, 527–539 (2000). https://doi.org/10.1007/BF02904263

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  • DOI: https://doi.org/10.1007/BF02904263

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