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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 Theorem

This 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.

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Maximal Ideal Space

Cite 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

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