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Limit Operators

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

Abstract

We start with recalling how the class of the compact operators on a Banach space determines both the strong operator topology and the set of the Fredholm operators. This characterization is then taken as a starting point to introduce generalized notions of strong convergence and Fredholmness.

Keywords

Strong Convergence Compact Operator Limit Operator Fredholm Operator Approximate Identity 
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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