parametric operator

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