Finite rank self-adjoint perturbations

Authors

  • L. P. Nizhnik Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • S. A. Kuzhel Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

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Abstract

Finite rank perturbations of a semi-bounded self-adjoint operator $A$ are studied. Different types of finite rank perturbations (regular, singular, mixed singular) are described from a unique point of view and by the same formula with the help of quasi-boundary value spaces. As an application, a Schr\"{o}dinger operator with nonlocal point interactions is considered.

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Published

2006-09-25

Issue

Vol. 12 No. 3 (2006)

Section

Articles

How to Cite

Nizhnik, L. P., and S. A. Kuzhel. “Finite Rank Self-Adjoint Perturbations”. Methods of Functional Analysis and Topology, vol. 12, no. 3, Sept. 2006, pp. 243-5, https://zen.imath.kiev.ua/index.php/mfat/article/view/317.