Integral Equations and Operator Theory

, Volume 30, Issue 4, pp 452–495

Fredholm theory and finite section method for band-dominated operators

  • V. S. Rabinovich
  • S. Roch
  • B. Silbermann
Article

DOI: 10.1007/BF01257877

Cite this article as:
Rabinovich, V.S., Roch, S. & Silbermann, B. Integr equ oper theory (1998) 30: 452. doi:10.1007/BF01257877

Abstract

The topics of this paper are Fredholm properties and the applicability of the finite section method for band operators onlp-spaces as well as for their norm limits which we call band-dominated operators. The derived criteria will be established in terms of the limit operators of the given band-dominated operator. After presenting the general theory, we present its specifications to concrete classes of band-dominated operators.

AMS Classification Numbers

47B3747D3065J1065L12

Copyright information

© Birkhäuser Verlag 1998

Authors and Affiliations

  • V. S. Rabinovich
    • 1
  • S. Roch
    • 2
  • B. Silbermann
    • 3
  1. 1.Department of Mechanics and MathematicsRostov State UniversityRostov-na-DonuRussia
  2. 2.Mathematisches Institut AUniversität StuttgartStuttgartGermany
  3. 3.Fakultät für MathematikTechnische Universität Chemnitz-ZwickauChemnitzGermany