2017
Том 69
№ 9

All Issues

Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator

Dudkin M. Ye.

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Abstract

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.

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