Warianty tytułu
Języki publikacji
Abstrakty
Let $E$ be a complete uniform topological algebra with Arens-Michael normed factors $(E_α)_{α∈Λ}$. Then $M(E)\cong\lim_{←}M(E_α)$ within an algebra isomorphism $φ$. If each factor $E_α$ is complete, then every multiplier of $E$ is continuous and $φ$ is a topological algebra isomorphism where $M(E)$ is endowed with its seminorm topology. (original abstract)
Twórcy
autor
- Ecole Normale Supérieure, Morocco
Bibliografia
- Arhippainen J., On locally convex square algebras, Funct. Approx. 22 (1993), 57-63.
- Haralampidou M., The Krull nature of locally C-algebras, in: Function Spaces (Edwardsville, IL, 2002), 195-200, Contemp. Math., 328, Amer. Math. Soc., Providence, 2003.
- Haralampidou M., Palacios L., Signoret C., Multipliers in locally convex _-algebras, Rocky Mountain J. Math. 43 (2013), 1931-1940.
- Haralampidou M., Palacios L., Signoret C., Multipliers in perfect locally m-convex algebras, Banach J. Math. Anal. 9 (2015), 137-143.
- Haralampidou M., Palacios L., Signoret C., Multipliers in some perfect locally m-pseudoconvex algebras, Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014, Ed. by A. Katz, Series: De Gruyter Proceedings in Mathematics. To appear.
- Husain T., Multipliers of topological algebras, Dissertationes Math. 285 (1989), 36 pp.
- Inoue A., Locally C-algebras, Mem. Faculty Sci. Kyushu Univ. (Ser. A) 25 (1971), 197-235.
- Mallios A., Topological Algebras. Selected Topics, North-Holland, Amsterdam, 1986.
- Michael E.A., Locally multiplicatively convex topological algebras, Mem. Amer. Math. Soc. 11 (1952), 79 pp.
- Phillips N.C., Inverse limits of C-algebras, J. Operator Theory 19 (1988), 159-195.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171607613
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