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The Fixed-Point Index of Condensing Operators

  • R. R. Akhmerov
  • M. I. Kamenskii
  • A. S. Potapov
  • A. E. Rodkina
  • B. N. Sadovskii
Part of the Operator Theory: Advances and Applications book series (OT, volume 55)

Abstract

In the theory of fixed points and various applied problems an important role is played by the closely related notions of degree of a map, rotation of a vector field, and fixed-point index of an operator. We shall use the terminology connected with the last of these three notions; moreover, whenever there is no danger of confusion, we shall simply speak about the “index” of the operator in question instead of its “fixed-point index”.

Keywords

Banach Space Compact Operator Homotopy Class Relative Index Index Theory 
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 1992

Authors and Affiliations

  • R. R. Akhmerov
    • 1
  • M. I. Kamenskii
    • 2
  • A. S. Potapov
    • 3
  • A. E. Rodkina
    • 4
  • B. N. Sadovskii
    • 2
  1. 1.Inst. Comput. TechnologiesNovosibirskUSSR
  2. 2.Department of MathematicsVoronezh State UniversityVoronezhUSSR
  3. 3.Faculty of Physics and MathematicsVoronezh State Teach. Training InstituteVoronezhUSSR
  4. 4.Voronezh Institute of Civil EngineeringVoronezhUSSR

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