Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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EXTENDED SPECTRUM OF THE ALUTHGE TRANSFORMATION

  • Guemoula, Asma (Department of Mathematics, Operators Theory and PDE Foundations and Applications Laboratory, University of El-Oued) ;
  • Mansour, Abdelouahab (Department of Mathematics, Operators Theory and PDE Foundations and Applications Laboratory, University of El-Oued)
  • Received : 2021.05.01
  • Accepted : 2021.06.18
  • Published : 2021.09.30
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Abstract

In this paper, a relationship between the extended spectrum of the Aluthge transform and the extended spectrum of the operator T is proved. Other relationships between two different operators and other results are also given.

Keywords

Acknowledgement

This work was supported by Laboratory of operator theory, Algeria.

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