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.

Full Text

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},
  MRNUMBER = {MR2261582},
       URL = {http://mfat.imath.kiev.ua/article/?id=338},
}