Dilatations of Linear Operators

The article is devoted to building various dilatations of linear operators. explicit construction a unitary dilation compression operator considered. Then the J-unitary dilatation bounded constructed by means knot concept operator. Using Pavlov method, we construct self-adjoint dissipative We consider spectral and translational representations densely defined with nonempty set regular points. an for Cayley transform, introduce By this concept, J-self-adjoint point. obtain conditions isomorphism extraneous dilations their minimality.