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Advertible complétude et structure deQ-algèbre

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Abstract

We give different characterizations of algebra types (Q-property, advertible completeness, MackeyQ-property) in terms of the relation ρ<-β and sequentiality notions in locally pseudo-convex algebras.

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References

  1. Allan G. R.,A spectral theory for locally convex algebras, Proc. London Math. Soc.,15 (1965), 399–421.

    Article  MATH  MathSciNet  Google Scholar 

  2. El Azhari M.,Caractères dans les algèbres de Fréchet à bases et formes positives dans les BP-algèbres, Thése de 3ème cycle. E. N. S. de Rabat, (1986).

  3. El Kinani A., Chahboun M., Oudadess M.,Algèbres A—p-normées advertiblement complétes, Bull. Belg. Math. Soc.,7 (2000), 277–284.

    MATH  Google Scholar 

  4. El Kinani A., Oudadess M.,m-convex properties in locally convex algebras, Bull. Belg. Math. Soc.,7 (2000), 285–290.

    MATH  Google Scholar 

  5. El Kinani A., Oubbi L., Oudadess M.,Spectral and boundedness radii in locally convex algebras, Geor. Math. J.,5 (1998), 233–241.

    Article  MATH  Google Scholar 

  6. Buck R. C.,Bounded continuous functions on locally compact spaces, Michigan Math. Jr.,5 (1958), 95–104.

    Article  MATH  MathSciNet  Google Scholar 

  7. Husain T.,Infrasequential topological algebras, Can. Math. Bull.,22 (1979), 413–418.

    MATH  MathSciNet  Google Scholar 

  8. Hogbe-Nlend H.,Bornologies and functional analysis, North-Holland, (1977).

  9. Hogbe-Nlend H.,Théorie des bornologies et applications, Lecture notes in Math. Springer Verlag,213 (1972).

  10. Jarchow H.,Locally convex spaces, B. G. Teubiner Stuttgart, (1981).

    MATH  Google Scholar 

  11. Mallios A.,Topological algebras, Selected topics North Holland, (1986).

  12. Oudadess M.,Rayon de régularité dans les algèbres infraséquentielles, Can. J. Math.,36 (1984), 84–94.

    MATH  MathSciNet  Google Scholar 

  13. Oudadess M.,Théorèmes de structures et propriètés fondamentales des algèbres localement A-convexes, C. R. Acad. Sc. Paris,296 (1983), 851–853.

    MATH  MathSciNet  Google Scholar 

  14. Warner S.,Polynomial completeness in locally multiplicatively convex algebras, Duke Math.,23 (1956), 1–11.

    Article  MATH  MathSciNet  Google Scholar 

  15. Zelasko W.,Selected topics in topological algebras, Lect. Notes Series.,31 (1971), Matimatisk Institut-Aarhus, (1971).

  16. Zelasko W.,On the locally bounded and m-convex topological algebras, Studia Math.,19 (1960), 333–355.

    MathSciNet  Google Scholar 

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El Kinani, A. Advertible complétude et structure deQ-algèbre. Rend. Circ. Mat. Palermo 50, 427–442 (2001). https://doi.org/10.1007/BF02844423

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