On the Classes of (n, m) Power (D, A)-Normal and (n,m) Power (D, A)-Quasinormal Operators in Semi-Hilbertian Space

Djilali BEKAİ; Benali ABDELKADER; Hakem ALI

Makale detayları

On the Classes of (n, m) Power (D, A)-Normal and (n,m) Power (D, A)-Quasinormal Operators in Semi-Hilbertian Space

Yazarlar:

Djilali BEKAİ | Benali ABDELKADER | Hakem ALI

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 2, pp.101-116

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000903170

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 

The concept of (, ) power -normal operators on Hilbertian space is defined by Ould Ahmed Mahmoud Sid Ahmed and Ould Beinane Sid Ahmed in [1]. In this paper we introduce a new classes of operators on semi-Hilbertian space (ℋ, ∥. ∥) called (, ) power-(, )-normal denoted [(, )] and (, ) power-(, )-quasi-normal denoted [(, )] associated with a Drazin invertible operator using its Drazin inverse. Some properties of [(, )] and [(, )] are investigated and some examples are also given. An operator  ∈ ℬ (ℋ) is said to be (n, m) power-(, )- normal for some positive operator  and for some positive integers  and  if ()(⋕) = (⋕)().

Makale detayları

On the Classes of (n, m) Power (D, A)-Normal and (n,m) Power (D, A)-Quasinormal Operators in Semi-Hilbertian Space

Yazarlar: Djilali BEKAİ | Benali ABDELKADER | Hakem ALI

Yayıncı: Cankaya University

Ana Başlıklar: Uygulamalı fizik

Dergi: Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 2, pp.101-116

Belge Tipi: Makale

Yayın Tarihi: 10/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000903170

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Djilali BEKAİ | Benali ABDELKADER | Hakem ALI

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 2, pp.101-116

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000903170

Sıklık:

İki Yıllık

eISSN:

2564-7954