Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator
We prove a formula that relates resolvents of normal operators that are extensions of a certain prenormal operator. This formula is an analog of the Krein formula for resolvents of self-adjoint extensions of a symmetric operator. We describe properties of the defect subspaces of a prenormal operator.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 684-692.
Citation Example: Dudkin M. Ye. Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 555-562.