Characterizations of closed EP operators on Hilbert spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910732409372672 |
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| author | Majumdar, Arup Johnson, P. Sam |
| author_facet | Majumdar, Arup Johnson, P. Sam |
| contents | In this paper, we present intriguing findings that characterize both the closed (unbounded) and bounded EP operators on Hilbert spaces. Additionally, we demonstrate the result $γ(T) \leq r(T)$, where $T$ is a bounded EP operator, and $γ(T) \text{ and } r(T)$ represent the reduced minimum modulus and the spectral radius of $T$, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizations of closed EP operators on Hilbert spaces Majumdar, Arup Johnson, P. Sam Functional Analysis 47A05, 47B02 In this paper, we present intriguing findings that characterize both the closed (unbounded) and bounded EP operators on Hilbert spaces. Additionally, we demonstrate the result $γ(T) \leq r(T)$, where $T$ is a bounded EP operator, and $γ(T) \text{ and } r(T)$ represent the reduced minimum modulus and the spectral radius of $T$, respectively. |
| title | Characterizations of closed EP operators on Hilbert spaces |
| topic | Functional Analysis 47A05, 47B02 |
| url | https://arxiv.org/abs/2410.06869 |