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In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. ).

Definition

Let be a *-algebra. An element is called self-adjoint if $a\; =\; a^*$.{{sfn}}

The set of self-adjoint elements is referred to as $\backslash mathcal\{A\{sa\}$.}}

A subset

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