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Calcul fonctionnel holomorphe en dimension infinie dans leslmca

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Abstract

We construct the infinite dimensional holomorphic functional calculus in the complete locallym-convexe algebra. We also establish its stability propreties and its compatibility with continuous algebra morphisms.

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References

  1. Akkar M.,Sur la structure des algèbres topologiques localement multiplicativement convèxes, C. R. Acad. Sc. Paris.279 (1974), 941–944.

    MATH  MathSciNet  Google Scholar 

  2. Akkar M.,Etude spectrale et structure d'algebres topologiques et bornologiques complètes. Thèse d'ètat (1976), 79–95.

  3. Arens A.,The analytic functional calculus in commutative topological algebras. Pacific J. Math.11 (1961), 405–429.

    MATH  MathSciNet  Google Scholar 

  4. Arens R., Caldron A. P.,Analytic functions of several Banach algebras elements, Ann. of Math.62 (1955), 204–216.

    Article  MathSciNet  Google Scholar 

  5. Chidami M.,Calcul fonctionnel holomorphe en dimension infinie Thèse à l'Université de Bordeux1 (1977).

  6. Galé J. E.,Unicity of a holomorphic functional calculus in infinite dimension, Tran. Amer. Math. Soc.295 (1986), 501–508.

    Article  MATH  Google Scholar 

  7. Grothendieck A.,Produits tensoriels topologiques et espaces nucléaires. Mem. Amer. Math. Soc.16 (1955).

  8. Michael E. A.,Multiplicatively convex topological algebras, Providence Mem. Amer. Math. Soc. II (1952).

  9. Waelbroeck L.,Topological vector spaces and algebras, Lecture Note in Math. Springer-Velag230 (1971).

  10. Zame W. R.,Existence, Uniqueness and contiuity of functional calculus, Proc. London. Math. Soc.39 (1979), 73–92.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Departement de Mathematiques, Université Mohammed 5 Faculté des Sciences de Rabat, B.P 1014

    M. Chidami

  2. Faculté des Sciences et Techniques, Université Hassani, B.P 577, Settat, Maroc

    R. El Harti

Authors
  1. M. Chidami
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  2. R. El Harti
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Chidami, M., El Harti, R. Calcul fonctionnel holomorphe en dimension infinie dans leslmca . Rend. Circ. Mat. Palermo 48, 541–548 (1999). https://doi.org/10.1007/BF02844343

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  • DOI: https://doi.org/10.1007/BF02844343

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