Ukrainian Mathematical Journal

, Volume 54, Issue 4, pp 684–692 | Cite as

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

  • M. E. Dudkin

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.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • M. E. Dudkin
    • 1
  1. 1.Kiev Polytechnic InstituteKiev

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