On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909087833260032 |
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| author | Patnaik, Sasmita Sethi, Rahul |
| author_facet | Patnaik, Sasmita Sethi, Rahul |
| contents | In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator. We also prove that every compact operator is unitarily equivalent to the sum of a compact quasinilpotent operator and a triangularizable compact operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators Patnaik, Sasmita Sethi, Rahul Functional Analysis 47B02, 47B47, 47A08, 47A10, 15A15 In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator. We also prove that every compact operator is unitarily equivalent to the sum of a compact quasinilpotent operator and a triangularizable compact operator. |
| title | On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators |
| topic | Functional Analysis 47B02, 47B47, 47A08, 47A10, 15A15 |
| url | https://arxiv.org/abs/2401.16916 |