Abstract:
On general approach to construction of self-adjoint dilation for dissipative operator. A general approach is presented to the construction of a self-adjoint dilation for a density defined dissipative operator with nonempty set of regular points. The construction involves the boundary pairs for maximal symmetric operators. Some partial cases are considered. A minimality criterion for the resulting dilation is proved.
Key words and phrases:self-adjoint dilation, dissipative operator, spaces of boundary values of the operator, maximal symmetric operator, defect operators, defect subspaces, defect index.
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