Generalized weighted EP elements in Banach algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913939806224384 |
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| author | Chen, H. Sheibani, M. |
| author_facet | Chen, H. Sheibani, M. |
| contents | We propose a new class of generalized inverses with weights, which represent a natural extension of EP (Moore-Penrose) and *-DMP (Drazin-Moore-Penrose) elements in a Banach *-algebra. This paper presents various characteristics of weighted EP elements. Moreover, we characterize the weighted EP element through the core-EP decomposition and a polar-like property. Finally, we explore weighted *-DMP elements and uncover several new properties of *-DMP elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized weighted EP elements in Banach algebras Chen, H. Sheibani, M. Functional Analysis Rings and Algebras We propose a new class of generalized inverses with weights, which represent a natural extension of EP (Moore-Penrose) and *-DMP (Drazin-Moore-Penrose) elements in a Banach *-algebra. This paper presents various characteristics of weighted EP elements. Moreover, we characterize the weighted EP element through the core-EP decomposition and a polar-like property. Finally, we explore weighted *-DMP elements and uncover several new properties of *-DMP elements. |
| title | Generalized weighted EP elements in Banach algebras |
| topic | Functional Analysis Rings and Algebras |
| url | https://arxiv.org/abs/2507.09939 |