New properties of some classes of Saphar type operators
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910751679053824 |
|---|---|
| author | Ghorbel, Ayoub Živković-Zlatanović, Snežana Č. |
| author_facet | Ghorbel, Ayoub Živković-Zlatanović, Snežana Č. |
| contents | This paper explores additional properties of some classes of Saphar type operators, namely left Drazin invertible, essentially left Drazin invertible, right Drazin invertible, and essentially right Drazin invertible operators on Banach spaces, building upon the groundwork laid in \cite{GM} and \cite{ZS}. Specifically, we propose alternative definitions for these operators and characterize them with a new type of operator decomposition, providing a deeper understanding of their properties. Furthermore, we investigate their behavior under powers. The operators we study are distinguished from other operators bearing the same name in existing literature, see \cite{Aiena}, \cite{Q. Jiang}. By employing more refined definitions, we uncover a broader range of properties for these operators, setting them apart from their counterparts in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17981 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New properties of some classes of Saphar type operators Ghorbel, Ayoub Živković-Zlatanović, Snežana Č. Functional Analysis 15A09, 47A05 This paper explores additional properties of some classes of Saphar type operators, namely left Drazin invertible, essentially left Drazin invertible, right Drazin invertible, and essentially right Drazin invertible operators on Banach spaces, building upon the groundwork laid in \cite{GM} and \cite{ZS}. Specifically, we propose alternative definitions for these operators and characterize them with a new type of operator decomposition, providing a deeper understanding of their properties. Furthermore, we investigate their behavior under powers. The operators we study are distinguished from other operators bearing the same name in existing literature, see \cite{Aiena}, \cite{Q. Jiang}. By employing more refined definitions, we uncover a broader range of properties for these operators, setting them apart from their counterparts in the literature. |
| title | New properties of some classes of Saphar type operators |
| topic | Functional Analysis 15A09, 47A05 |
| url | https://arxiv.org/abs/2403.17981 |