Character

Let A be a commutative complex Banach algebra. A nonzero homomorphism from A onto the field of complex numbers is called a character. Every character is automatically continuous.

See also

Banach Algebra, Character Table, Group Character, Maximal Ideal Space, Multiplicative Character, Number Theoretic Character

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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Character

Cite this as:

Moslehian, Mohammad Sal. "Character." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Character.html

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