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Pseudo-Banach structure in locally convex algebras

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Abstract

We give a positive answer, in different settings, to a question of Oudadess (Q. A. Gen. Top., 13 (1995) 21–24) concerning the pseudo-Banach structure of a locallym-convex algebra whose elements are all bounded.

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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. Allan G. R., Dales H. G., McClure J. M.,Pseudo-Banach algebras. Studia. Math.40 (1971), 55–69.

    MATH  MathSciNet  Google Scholar 

  3. Mieussens M.,Fonctions entière dans les algèbres bornologiques. C. R. Acad. Sc. Paris 277 (1973) 31–34 Serie A.

    MATH  MathSciNet  Google Scholar 

  4. Oubbi L.,Limites inductives d'algèbres A-convexes et opérateurs bornés. Bull. Soc. Roy. Sci. Liège,61 (1992), 369–376.

    MATH  MathSciNet  Google Scholar 

  5. Oubbi L.,Weighted algebras of continuous functions. Res. Math.,24 (1993), 298–307.

    MATH  MathSciNet  Google Scholar 

  6. Oubbi L.,Representation of locally convex algebras. Rev. Mat. Univ. Complutense Madrid7 (1994), 233–243.

    MATH  MathSciNet  Google Scholar 

  7. Oudadess M.,Pseudo-Banach structure in m-convex algebras, Q. A. in General topology,13 (1995), 21–24.

    MATH  MathSciNet  Google Scholar 

  8. Oudadess M.,A note on m-convex and pseudo-Banach structures, Rendiconti Circolo Mat.519, Springer-Verlag, 1976.

  9. Schmets J.,Espaces de fonctions continues, Lecture Notes in Math.519, Springer-Verlag, 1976.

  10. Warner S.,Inductive limit of normed algebras. Trans. Amer. Math. Soc.82 (1956), 190–216.

    Article  MATH  MathSciNet  Google Scholar 

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Oubbi, L. Pseudo-Banach structure in locally convex algebras. Rend. Circ. Mat. Palermo 46, 390–394 (1997). https://doi.org/10.1007/BF02844280

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  • DOI: https://doi.org/10.1007/BF02844280

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