New properties of weighted generalized core-EP inverse in Banach algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913936396255232 |
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| author | Chen, Huanyin Sheibani, Marjan |
| author_facet | Chen, Huanyin Sheibani, Marjan |
| contents | We characterize the generalized weighted core-EP inverse via the canonical decomposition, utilizing a weighted core-EP invertible element and a quasinilpotent. We then offer a polar-like characterization for the generalized weighted core-EP invertible element. The representations of the generalized weighted core-EP inverse by leveraging the weighted generalized Drazin inverse are thereby presented. These lead to new properties for the weighted core-EP inverse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07777 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New properties of weighted generalized core-EP inverse in Banach algebras Chen, Huanyin Sheibani, Marjan Functional Analysis Rings and Algebras 15A09, 16U99, 46H05 We characterize the generalized weighted core-EP inverse via the canonical decomposition, utilizing a weighted core-EP invertible element and a quasinilpotent. We then offer a polar-like characterization for the generalized weighted core-EP invertible element. The representations of the generalized weighted core-EP inverse by leveraging the weighted generalized Drazin inverse are thereby presented. These lead to new properties for the weighted core-EP inverse. |
| title | New properties of weighted generalized core-EP inverse in Banach algebras |
| topic | Functional Analysis Rings and Algebras 15A09, 16U99, 46H05 |
| url | https://arxiv.org/abs/2507.07777 |