On polynomially hypo-EP operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916503009361920 |
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| author | Semmami, Rachid Ezzahraoui, Hamid |
| author_facet | Semmami, Rachid Ezzahraoui, Hamid |
| contents | The purpose of this paper is to present a new class of operators known as polynomially hypo-EP operators, extending the notation of hypo-EP, $n$-hypo-EP, and polynomially EP. The paper explores numerous properties and characterizations of polynomially hypo-EP operators and polynomially EP operators. In addition, we characterize polynomially hypo-EP operators applying the adequate operator matrix representations. By employing these findings, we derive new characterizations of EP, hypo-EP, $n$-EP and $n$-hypo-EP. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01516 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On polynomially hypo-EP operators Semmami, Rachid Ezzahraoui, Hamid Functional Analysis The purpose of this paper is to present a new class of operators known as polynomially hypo-EP operators, extending the notation of hypo-EP, $n$-hypo-EP, and polynomially EP. The paper explores numerous properties and characterizations of polynomially hypo-EP operators and polynomially EP operators. In addition, we characterize polynomially hypo-EP operators applying the adequate operator matrix representations. By employing these findings, we derive new characterizations of EP, hypo-EP, $n$-EP and $n$-hypo-EP. |
| title | On polynomially hypo-EP operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2412.01516 |