A spectral decomposition in one class of non-selfadjoint operators

Authors

  • G. M. Gubreev Poltava National Technical University, 24 Pervomaiskii prospect, Poltava, 36011, Ukraine
  • M. V. Dolgopolova Poltava National Technical University, 24 Pervomaiskii prospect, Poltava, 36011, Ukraine
  • S. I. Nedobachiy Poltava National Technical University, 24 Pervomaiskii prospect, Poltava, 36011, Ukraine 

DOI:

Keywords:

Abstract

In this paper, a class of special finite dimensional perturbations of Volterra operators in Hilbert spaces is investigated. The main result of the article is finding necessary and sufficient conditions for an operator in a chosen class to be similar to the orthogonal sum of a dissipative and an anti-dissipative operators with finite dimensional imaginary parts.

Downloads

Published

2010-06-25

Issue

Vol. 16 No. 2 (2010)

Section

Articles

How to Cite

Gubreev, G. M., et al. “A Spectral Decomposition in One Class of Non-Selfadjoint Operators”. Methods of Functional Analysis and Topology, vol. 16, no. 2, June 2010, pp. 140-57, https://zen.imath.kiev.ua/index.php/mfat/article/view/447.