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# 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 ${\displaystyle \mathrm {A} .}$