Abstract
The aim of this note is a discussion about a concept of convergence related to a spectral property in unital complex Banach algebras.
Similar content being viewed by others
References
Bonsall F. F., Duncan J.,Complete Normed Algebras, Ergebuisse der Mathematik und ihrer Grenzgebiete, Band,80 Spring-Verlag, Berlin Heidelberg New York, 1973.
Bourbaki N.,Théorie spectrale, Hermann, Paris, 1967.
Dieudonné J.,Calcul Infinitésimal, Hermann, Paris, 1980.
Hemdaoui M.,Extension of the Weierstrass Factorization Theorem, Rend. Circ. Mat. Palermo, Serie II.,49 (2000), pp. 435–444.
Hemdaoui M.,A Remark on the Extension of Weierstrass Factorization Theorem, Annales des Sciences Mathématiques du Quebec, to appear.
Hemdaoui M., Soigatt A.,Extension of Mittag-Leffler’s Theorem, Rend. Circ. Mat. Palermo, Serie II.,50 (2001), pp. 247–258.
Lusternik L., Sobolev V.,Précis d’Analyse Fonctionnelle, Edition Mir Moscou ISBN 5-03-000717-2 traduction française, Editions Mir, 1989.
Rudin W.,Real and Complex Analysis, McGraw-Hill Book Compagny 1966, New York - St.Louis - San Francisco - Toronto - London - Sydney.
Angus E. Taylor,Introduction to Functional Analysis, New York. John Wiley & Sons, Inc. (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hemdaoui, M. Concept of convergence in Banach algebras related to a spectral property. Rend. Circ. Mat. Palermo 53, 369–380 (2004). https://doi.org/10.1007/BF02875729
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02875729