Limit Operators

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


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.


Strong Convergence Compact Operator Limit Operator Fredholm Operator Approximate Identity 
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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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