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

  • M. Ye. 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.
Published
25.04.2002
How to Cite
DudkinM. Y. “Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 4, Apr. 2002, pp. 555-62, https://umj.imath.kiev.ua/index.php/umj/article/view/4092.
Section
Short communications