A characterization of -algebras.
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Gaur, A.K. (1997)
International Journal of Mathematics and Mathematical Sciences
D. Przeworska-Rolewicz (1972)
Studia Mathematica
George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
Maria Fragoulopoulou (1992)
Studia Mathematica
A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
Michael Voit (1993)
Mathematische Annalen
H. G. Dales, Niels Jakob Laustsen, Charles J. Read (2003)
Studia Mathematica
A properly infinite C*-algebra has no non-zero traces. We construct properly infinite Banach *-algebras with non-zero, bounded traces, and show that there are even such algebras which are fairly "close" to the class of C*-algebras, in the sense that they can be hermitian or *-semisimple.
Václav Alda, Pavla Vrbová (1987)
Czechoslovak Mathematical Journal
Michael Grosser (1984)
Manuscripta mathematica
Hermann Render (1989)
Studia Mathematica
A. El Kinani, M. Oudadess (1999)
Annales mathématiques Blaise Pascal
Akkar, M., Arroub, H. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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