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The Linear Theory

  • 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

It is well known (see, for example, [34]) that if A is a compact linear operator acting in a Banach space E, then for λ = 0 the Fredholm alternative holds for the equation
$$ \lambda x - Ax = 0.$$
(1)
.

Keywords

Banach Space Linear Theory Spectral Radius Bounded Linear Operator Fredholm Operator 
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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