$A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909132193267712 |
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| author | Majumdar, Arup Johnson, P. Sam |
| author_facet | Majumdar, Arup Johnson, P. Sam |
| contents | This paper delves into several characterizations of $A$-approximate point spectrum of A-bounded operators acting on a complex semi-Hilbertian space $H$ and also investigates properties of the $A$-approximate point spectrum for the tensor product of two $A^{\frac{1}{2}}$-adjoint operators. Furthermore, several properties of $A$-normal operators have been established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces Majumdar, Arup Johnson, P. Sam Functional Analysis 47A10, 47A30, 47A80, 46C05 This paper delves into several characterizations of $A$-approximate point spectrum of A-bounded operators acting on a complex semi-Hilbertian space $H$ and also investigates properties of the $A$-approximate point spectrum for the tensor product of two $A^{\frac{1}{2}}$-adjoint operators. Furthermore, several properties of $A$-normal operators have been established. |
| title | $A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces |
| topic | Functional Analysis 47A10, 47A30, 47A80, 46C05 |
| url | https://arxiv.org/abs/2403.05071 |