References
F. F.Bonsall and J.Duncan, Complete Normed Algebras. Berlin-Heidelberg-New York 1973.
P. Civin andB. Yood, Involutions on Banach algebras. Pacific J. Math.9, 415–436 (1959).
N. J.Divinsky, Rings and Radicals. Toronto 1965.
P. G.Dixon, A symmetric normed*-algebra whose completion is not symmetric. Informal note (setting out in full the argument sketched in Mathematical Reviews when reviewing [16]).
R. S. Doran, A generalization of a theorem of Civin and Yood on Banach*-algebras. Bull. London Math. Soc.4, 25–26 (1972).
M.Gray, A Radical Approach to Algebra. Reading, Mass. 1970.
A. Lenard, Function algebras without nontrivial positive linear forms. Informal note (see Notices Amer. Math. Soc.23, 224 (1976)).
H. Leptin, On group algebras of nilpotent Lie groups. Studia Math.47, 37–49 (1973).
H. Leptin, Ideal theory in group algebras of locally compact groups. Inventiones Math.31, 259–278 (1976).
H. Leptin, Symmetrie in Banachschen Algebren. Arch. Math.27, 394–400 (1976).
H.Leptin, Lokalkompakte Gruppen mit symmetrischen Algebren. To appear in Symposia Math.
T. W. Palmer, Hermitian Banach*-algebras. Bull. Amer. Math. Soc.78, 522–524 (1972).
T. W. Palmer, The reducing ideal is a radical. Pacific J. Math.43, 207–219 (1972).
C. E.Rickart, General Theory of Banach Algebras. Princeton, N.J. 1960.
J. Wichmann, Hermitian*-algebras which are not symmetric. J. London Math. Soc. (2)8, 109–112 (1974).
J. Wichmann, On the symmetry of matrix algebras. Proc. Amer. Math. Soc.54, 237–240 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wichmann, J. The symmetric radical of an algebra with involution. Arch. Math 30, 83–88 (1978). https://doi.org/10.1007/BF01226023
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01226023