(A-n) – Potent Operators on Hilbert Space

Laith  K. Shaakir; Elaf  S. Abdulwahid; Anas  A. Hijab

doi:10.52866/ijcsm.2019.01.01.002

(A-n) – Potent Operators on Hilbert Space

Authors

Laith K. Shaakir Department of Mathematics, College of Computer Science and Mathematics, Tikrit University
Elaf S. Abdulwahid Department of Mathematics, College of Education for women, Tikrit University
Anas A. Hijab Department of Mathematics, College of Education for Pure Sciences, Tikrit University

DOI:

https://doi.org/10.52866/ijcsm.2019.01.01.002

Keywords:

Hilbert space, Functional analysis, potent operator

Abstract

This paper introduced a new class of operators called (A-n)-potent operator on a complex Hilbert space . An operator is called (A-n)-potent operator if where is a positive integer greater than or equal to 2. Some basic properties of such operators were also investigated; the relationship between (A-n)-potent operators and some kinds of operators was also established.

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Published

2020-01-30

How to Cite

[1]

Laith K. Shaakir, Elaf S. Abdulwahid, and Anas A. Hijab, “(A-n) – Potent Operators on Hilbert Space”, Iraqi Journal For Computer Science and Mathematics, vol. 1, no. 1, pp. 13–17, Jan. 2020.