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Fredholmness of Band-dominated Operators

  • Vladimir Rabinovich
  • Bernd Silbermann
  • Steffen Roch
Part of the Operator Theory: Advances and Applications book series (OT, volume 150)

Abstract

In this chapter we introduce a class of operators for which the converse of Corollary 1.3.10 can be proved: if the symbol of the operator is invertible, then the operator is P-Fredholm. The class under consideration consists of band and band-dominated operators which act on l P -spaces over ℝ N . In the forthcoming chapters we will point out that this class is large enough to include, e.g., discretizations of convolution operators and of pseudodifferential operators.

Keywords

Banach Algebra Limit Operator Fredholm Operator Band Operator Special Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • Vladimir Rabinovich
    • 1
  • Bernd Silbermann
    • 2
  • Steffen Roch
    • 3
  1. 1.Instituto Politécnico NacionalESIME ZacatencoMexico, D.F.USA
  2. 2.Department of MathematicsTechnical University of ChemnitzChemnitzGermany
  3. 3.Department of MathematicsTechnical University of DarmstadtDarmstadtGermany

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