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.
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Article Information
Title
A spectral decomposition in one class of non-selfadjoint operators
G. M. Gubreev, M. V. Dolgopolova, and S. I. Nedobachiy, A spectral decomposition in one class of non-selfadjoint operators, Methods Funct. Anal. Topology 16
(2010), no. 2, 140-157.
BibTex
@article {MFAT532,
AUTHOR = {Gubreev, G. M. and Dolgopolova, M. V. and Nedobachiy, S. I.},
TITLE = {A spectral decomposition in one class of non-selfadjoint operators},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {16},
YEAR = {2010},
NUMBER = {2},
PAGES = {140-157},
ISSN = {1029-3531},
MRNUMBER = {MR2667809},
URL = {http://mfat.imath.kiev.ua/article/?id=532},
}