Singularly perturbed normal operators

Authors

  • L. P. Nizhnik National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine
  • M. E. Dudkin Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

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Abstract

We give an effective description of finite rank singular perturbations of a normal operator by using the concepts we introduce of an admissible subspace and corresponding admissible operators. We give a description of rank one singular perturbations in terms of a scale of Hilbert spaces, which is constructed from the unperturbed operator.

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Published

2010-12-25

Issue

Vol. 16 No. 4 (2010)

Section

Articles

How to Cite

Nizhnik, L. P., and M. E. Dudkin. “Singularly Perturbed Normal Operators”. Methods of Functional Analysis and Topology, vol. 16, no. 4, Dec. 2010, pp. 298-03, https://zen.imath.kiev.ua/index.php/mfat/article/view/459.