Open Access

On similarity of convolution Volterra operators in Sobolev spaces

Abstract

Necessary and sufficient conditions for a convolution Volterra operator to be similar in a Sobolev space to the operator $J^\alpha$ are obtained. A criterion of similarity is obtained as well.

Article Information

 Title On similarity of convolution Volterra operators in Sobolev spaces Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 3, 286-295 MathSciNet MR2261582 Copyright The Author(s) 2006 (CC BY-SA)

Authors Information

G. S. Romashchenko
Department of Mathematics, Donets'k National University, 24 Universytets'ka, Donets'k, 83055, Ukraine

Citation Example

G. S. Romashchenko, On similarity of convolution Volterra operators in Sobolev spaces, Methods Funct. Anal. Topology 12 (2006), no. 3, 286-295.

BibTex

@article {MFAT338,
AUTHOR = {Romashchenko, G. S.},
TITLE = {On similarity of convolution Volterra operators in Sobolev spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {3},
PAGES = {286-295},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=338},
}