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},
}