Definition:Hermitian Element of *-Algebra

Definition

Let $\struct {A, \ast}$ be a $\ast$-algebra over $\C$.

Let $a \in A$.

We say that $a$ is Hermitian if and only if $a^\ast = a$.

Sources

• 1990: Gerard J. Murphy: C*-Algebras and Operator Theory ... (previous) ... (next): $2.1$: $C^\ast$-Algebras