Definition:*-Subalgebra
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Definition
Let $\struct {A, \ast}$ be a $\ast$-algebra over $\C$.
Let $B \subseteq A$ be a self-adjoint subalgebra of $A$.
We say that $B$ is a $\ast$-subalgebra of $A$.
Sources
- 1990: Gerard J. Murphy: C*-Algebras and Operator Theory ... (previous) ... (next): $2.1$: $C^\ast$-Algebras