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