Maximal Ideal Space
Let A be a commutative complex Banach algebra. The space of all characters on A is called the maximal ideal space (or character space) of A. This space equipped with the weak*-topology inherited from A^* is a locally compact T2-space.
See also
Character, Maximal Ideal, Maximal Ideal TheoremThis entry contributed by Mohammad Sal Moslehian
Explore with Wolfram|Alpha
WolframAlpha
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 Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/MaximalIdealSpace.html