Let 
be a commutative complex Banach algebra. The space
of all characters on 
is called the maximal ideal space (or character space) of
.
This space equipped with the weak*-topology inherited from 
is a locally compact T2-space.
Maximal Ideal Space
See also
Character, Maximal Ideal, Maximal Ideal TheoremThis entry contributed by Mohammad Sal Moslehian
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References
Bonsall, F. F. and Duncan, J. Complete Normed Algebras. New York: Springer-Verlag, 1973.Murphy, G. J. C-*-Algebras and Operator Theory. New York: Academic Press, 1990.Referenced on Wolfram|Alpha
Maximal Ideal SpaceCite this as:
Moslehian, Mohammad Sal. "Maximal Ideal Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/MaximalIdealSpace.html