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http://dx.doi.org/10.11568/kjm.2021.29.3.511

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)
Publication Information
Korean Journal of Mathematics / v.29, no.3, 2021 , pp. 511-518 More about this Journal
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
Aluthge transformation; extended spectrum; Duggal transformation; self-adjoint operator; invertible operator;
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