The maximal ideal space (or character space) of 
, where 
is a commutative complex Banach
algebra, is the space of all characters on 
. Equipped with the weak*-topology inherited
from 
,
it 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:
Weisstein, Eric W., with contributions by Mohammad Sal Moslehian. "Maximal Ideal Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MaximalIdealSpace.html