Involutive Algebra
An involutive algebra is an algebra A together with a map a|->a^* of A into A (a so-called involution), satisfying the following properties:
1. (a^*)^*=a.
2. (ab)^*=b^*a^*.
3. (lambdaa+b)^*=lambda^_a^*+b^*.
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.Referenced on Wolfram|Alpha
Involutive AlgebraCite this as:
Moslehian, Mohammad Sal. "Involutive Algebra." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/InvolutiveAlgebra.html