Paper Title:

Structural and Spectral Properties of k-Quasi Class Q Operators

Author(s):

Valdete Rexhëbeqaj Hamiti and Shqipe Lohaj

Department of Mathematics,
Faculty of Electrical and Computer Engineering,
University of Prishtina "Hasan Prishtina",
Prishtine 10000,
Kosova.
E-mail: valdete.rexhebeqaj@uni-pr.edu

Department of Mathematics,
Faculty of Electrical and Computer Engineering,
University of Prishtina "Hasan Prishtina",
Prishtine 10000,
Kosova.
E-mail: shqipe.lohaj@uni-pr.edu

Abstract:

An operator is said to be k-quasi class Q if , for all where k is a natural number. In this paper, first we will prove some results for the matrix representation of k-quasi class Q operators. Then, we will give the inclusion of approximate point spectrum of k-quasi class Q operators. Also, we will give the equivalence between Aluthge transformation and *-Aluthge transformation of k-quasi class Q operators.

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