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
Allan G. R.,A spectral theory for locally convex algebras. Proc. London Math. Soc.15 (1965), 399–421.
Allan G. R., Dales H. G., McClure J. M.,Pseudo-Banach algebras. Studia. Math.40 (1971), 55–69.
Mieussens M.,Fonctions entière dans les algèbres bornologiques. C. R. Acad. Sc. Paris 277 (1973) 31–34 Serie A.
Oubbi L.,Limites inductives d'algèbres A-convexes et opérateurs bornés. Bull. Soc. Roy. Sci. Liège,61 (1992), 369–376.
Oubbi L.,Weighted algebras of continuous functions. Res. Math.,24 (1993), 298–307.
Oubbi L.,Representation of locally convex algebras. Rev. Mat. Univ. Complutense Madrid7 (1994), 233–243.
Oudadess M.,Pseudo-Banach structure in m-convex algebras, Q. A. in General topology,13 (1995), 21–24.
Oudadess M.,A note on m-convex and pseudo-Banach structures, Rendiconti Circolo Mat.519, Springer-Verlag, 1976.
Schmets J.,Espaces de fonctions continues, Lecture Notes in Math.519, Springer-Verlag, 1976.
Warner S.,Inductive limit of normed algebras. Trans. Amer. Math. Soc.82 (1956), 190–216.
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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