# Parametric operator

A parametric operator ${\displaystyle \Omega \!}$ with parameter ${\displaystyle \alpha \!}$ in the parameter set ${\displaystyle \mathrm {A} \!}$ is an indexed family of operators ${\displaystyle (\Omega _{\alpha })_{\mathrm {A} }=\{\Omega _{\alpha }:\alpha \in \mathrm {A} \}\!}$ with index ${\displaystyle \alpha \!}$ in the index set ${\displaystyle \mathrm {A} .\!}$

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