(A-n) – Potent Operators on Hilbert Space

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 betwe...

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Main Authors: Laith K. Shaakir, Elaf S. Abdulwahid, Anas A. Hijab
Format: Article
Language:English
Published: College of Education, Al-Iraqia University 2020-01-01
Series:Iraqi Journal for Computer Science and Mathematics
Subjects:
Online Access:https://journal.esj.edu.iq/index.php/IJCM/article/view/27
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author Laith K. Shaakir
Elaf S. Abdulwahid
Anas A. Hijab
author_facet Laith K. Shaakir
Elaf S. Abdulwahid
Anas A. Hijab
author_sort Laith K. Shaakir
collection DOAJ
description 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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spelling doaj.art-8d59b06c0d674730a79f75f375847c212023-10-29T06:17:13ZengCollege of Education, Al-Iraqia UniversityIraqi Journal for Computer Science and Mathematics2958-05442788-74212020-01-011110.52866/ijcsm.2019.01.01.00219(A-n) – Potent Operators on Hilbert SpaceLaith K. Shaakir 0Elaf S. Abdulwahid 1Anas A. Hijab2Department of Mathematics, College of Computer Science and Mathematics, Tikrit UniversityDepartment of Mathematics, College of Education for women, Tikrit UniversityDepartment of Mathematics, College of Education for Pure Sciences, Tikrit University 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. https://journal.esj.edu.iq/index.php/IJCM/article/view/27Hilbert spaceFunctional analysispotent operator
spellingShingle Laith K. Shaakir
Elaf S. Abdulwahid
Anas A. Hijab
(A-n) – Potent Operators on Hilbert Space
Iraqi Journal for Computer Science and Mathematics
Hilbert space
Functional analysis
potent operator
title (A-n) – Potent Operators on Hilbert Space
title_full (A-n) – Potent Operators on Hilbert Space
title_fullStr (A-n) – Potent Operators on Hilbert Space
title_full_unstemmed (A-n) – Potent Operators on Hilbert Space
title_short (A-n) – Potent Operators on Hilbert Space
title_sort a n potent operators on hilbert space
topic Hilbert space
Functional analysis
potent operator
url https://journal.esj.edu.iq/index.php/IJCM/article/view/27
work_keys_str_mv AT laithkshaakir anpotentoperatorsonhilbertspace
AT elafsabdulwahid anpotentoperatorsonhilbertspace
AT anasahijab anpotentoperatorsonhilbertspace