Definition:Normal Element of *-Algebra
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Definition
Let $\struct {A, \ast}$ be a $\ast$-algebra.
Let $a \in A$.
We say that $a$ is normal if and only if:
- $a^\ast a = a a^\ast$
Sources
- 1990: Gerard J. Murphy: C*-Algebras and Operator Theory ... (previous) ... (next): $2.1$: $C^\ast$-Algebras