Property $(UW_E)$ and Consistent invertibility
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908416948043776 |
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| author | Thomas, Simi Prasad, T Fernandez, Shery |
| author_facet | Thomas, Simi Prasad, T Fernandez, Shery |
| contents | In this paper, we study the stability of Property $(UW_E)$ under commuting finite rank perturbation in terms of spectrum induced by consistent in invertibility for operators and a variant of upper semi-Weyl spectrum. Also we discuss the stability of Property $(UW_{E})$ under direct sum $T\oplus S$ and tensor product $T\otimes S$ for Hilbert space operators $T$ and $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18596 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Property $(UW_E)$ and Consistent invertibility Thomas, Simi Prasad, T Fernandez, Shery Functional Analysis Spectral Theory In this paper, we study the stability of Property $(UW_E)$ under commuting finite rank perturbation in terms of spectrum induced by consistent in invertibility for operators and a variant of upper semi-Weyl spectrum. Also we discuss the stability of Property $(UW_{E})$ under direct sum $T\oplus S$ and tensor product $T\otimes S$ for Hilbert space operators $T$ and $S$. |
| title | Property $(UW_E)$ and Consistent invertibility |
| topic | Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2506.18596 |