Abstract
Let
Open Access
The center of topologically primitive exponentially galbed algebras
Received29 Sept 2004
Revised11 Dec 2005
Accepted18 Dec 2005
Published18 May 2006
References
M. Abel, “On the Gel'fand-Mazur theorem for exponentially galbed algebras,” Tartu Riikliku Ülikooli Toimetised, no. 899, pp. 65–70, 1990.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. Abel, “Gel'fand-Mazur algebras,” in Topological Vector Spaces, Algebras and Related Areas (Hamilton, ON, 1994), vol. 316 of Pitman Research Notes in Mathematics Series, pp. 116–129, Longman Scientific & Technical, Harlow, 1994.
View at: Google Scholar | Zentralblatt MATH | MathSciNetMart Abel, “Description of closed maximal ideals in Gelfand-Mazur algebras,” in General Topological Algebras (Tartu, 1999), vol. 1 of Mathematical Studies (Tartu), pp. 7–13, Estonian Mathematical Society, Tartu, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetMart Abel, “Sectional representations of Gelfand-Mazur algebras,” Scientiae Mathematicae Japonicae, vol. 54, no. 3, pp. 441–448, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. Abel, “The center of primitive locally pseudoconvex algebras,” Bulletin of the Belgian Mathematical Society. Simon Stevin, vol. 11, no. 2, pp. 191–199, 2004.
View at: Google Scholar | MathSciNetV. K. Balachandran, Topological Algebras, vol. 185 of North-Holland Mathematics Studies, North-Holland, Amsterdam, 2000.
View at: Zentralblatt MATH | MathSciNetB. A. Barnes, “Modular annihilator algebras,” Canadian Journal of Mathematics, vol. 18, pp. 566–578, 1966.
View at: Google Scholar | Zentralblatt MATH | MathSciNetF. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York, 1973.
View at: Zentralblatt MATH | MathSciNetH. G. Dales, Banach Algebras and Automatic Continuity, vol. 24 of London Mathematical Society Monographs. New Series, The Clarendon Press, Oxford University Press, New York, 2000.
View at: Zentralblatt MATH | MathSciNetM. Haralampidou, “Annihilator topological algebras,” Portugaliae Mathematica, vol. 51, no. 1, pp. 147–162, 1994.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. Haralampidou, “On complementing topological algebras. Functional analysis,” Journal of Mathematical Sciences (New York), vol. 96, no. 6, pp. 3722–3734, 1999.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetI. N. Herstein, Noncommutative Rings, The Carus Mathematical Monographs, No. 15, John Wiley & Sons, New York, 1968.
View at: Zentralblatt MATH | MathSciNetN. Jacobson, Structure of Rings, vol. 37 of Colloquium Publications, American Mathematical Society, Rhode Island, 1956.
View at: Zentralblatt MATH | MathSciNetA. Mallios, Topological Algebras. Selected Topics, vol. 124 of North-Holland Mathematics Studies, North-Holland, Amsterdam, 1986.
View at: Zentralblatt MATH | MathSciNetTh. W. Palmer, Banach Algebras and the General Theory of -Algebras. Vol. I: Algebras and Banach Algebras, vol. 49 of Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 1994.
View at: Zentralblatt MATH | MathSciNetC. E. Rickart, General Topology of Banach Algebras, D. van Nostrad, New Jersey, 1960.
Y. Tsertos, “On primitive topological algebras,” Bulletin of the Greek Mathematical Society, vol. 28, pp. 81–92, 1987.
View at: Google ScholarY. Tsertos, “On primitive -convex algebras,” Commentationes Mathematicae. Prace Matematyczne, vol. 41, pp. 203–219, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetPh. Turpin, “Espaces et opérateurs exponentiellement galbés,” in Séminaire Pierre Lelong (Analyse), Année 1973–1974, vol. 474 of Lecture Notes in Mathematics, pp. 48–62, Springer, Berlin, 1975.
View at: Google Scholar | Zentralblatt MATH | MathSciNetPh. Turpin, “Convexités dans les espaces vectoriels topologiques généraux,” Dissertationes Mathematicae (Rozprawy Matematyczne), vol. 131, p. 221, 1976.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. Waelbroeck, Topological Vector Spaces and Algebras, vol. 230 of Lecture Notes in Mathematics, Springer, Berlin, 1971.
View at: Zentralblatt MATH | MathSciNet
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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.