The idea of dilation played an important role in the development of functional analysis, especially in the study of operator theory and operator algebras. The celebrated dilation theorems include (1) Sz-Nagy’s theorem: unitary dilation for a contraction, (2) Naimark’s dilation theorem: orthogonal projection-valued dilation for positive regular operator-valued measure and (3) Stinespring’s dilation theorem: \(*\) -homomorphism dilation for completely positive map on \(C^{*}\) -algebras.