Let 
be a commutative complex Banach
algebra. A nonzero homomorphism from 
onto the field of complex numbers is called a character. Every
character is automatically continuous.
Character
See also
Banach Algebra, Character Table, Group Character, Maximal Ideal Space, Multiplicative Character, Number Theoretic CharacterThis entry contributed by Mohammad Sal Moslehian
Explore with Wolfram|Alpha
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
CharacterCite this as:
Moslehian, Mohammad Sal. "Character." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Character.html