Remark 6.1.6.label If $A$ is a unital involutive Banach algebra then $1^{*}=1$. Furthermore, if $A$ is a unital $C^{*}$-algebra, then the condition $\norm{1}{}=1$ follows form $C^{*}$-algebra postulate.
Remark 6.1.6.label If $A$ is a unital involutive Banach algebra then $1^{*}=1$. Furthermore, if $A$ is a unital $C^{*}$-algebra, then the condition $\norm{1}{}=1$ follows form $C^{*}$-algebra postulate.