Singularly perturbed normal operators

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.

Full Text

Article Information

Title	Singularly perturbed normal operators
Source	Methods Funct. Anal. Topology, Vol. 16 (2010), no. 4, 298-303
MathSciNet	MR2777190
Copyright	The Author(s) 2010 (CC BY-SA)

Authors Information

M. E. Dudkin
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine

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

Citation Example

M. E. Dudkin and L. P. Nizhnik, Singularly perturbed normal operators, Methods Funct. Anal. Topology 16 (2010), no. 4, 298-303.

BibTex

@article {MFAT540,
    AUTHOR = {Dudkin, M. E. and Nizhnik, L. P.},
     TITLE = {Singularly perturbed normal operators},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {16},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {298-303},
      ISSN = {1029-3531},
  MRNUMBER = {MR2777190},
       URL = {http://mfat.imath.kiev.ua/article/?id=540},
}