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Power Series of Positive Linear Operators

  • Tuncer AcarEmail author
  • Ali Aral
  • Ioan Raşa
Article
  • 75 Downloads

Abstract

We describe a unifying approach for studying the power series of the positive linear operators from a certain class. For the same operators, we give simpler proofs of some known ergodic theorems.

Keywords

Power series Ergodic theorem positive linear operator Eigenstructure \(C_{0}\)-semigroup 

Mathematics Subject Classification

Primary 41A36 47D06 37A30 15A18 

Notes

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Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceSelcuk UniversityKonyaTurkey
  2. 2.Department of MathematicsKirikkale UniversityKirikkaleTurkey
  3. 3.Department of MathematicsTechnical University of Cluj-NapocaCluj-NapocaRomania

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