Comment on Maps preserving the dimension of fixed points of products of operators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913593393414144 |
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| author | Elouazzani, S. Elhodaibi, M. Saber, S. |
| author_facet | Elouazzani, S. Elhodaibi, M. Saber, S. |
| contents | Let $\mathcal{B} (X)$ be the algebra of all bounded linear operators on an infinite-dimensional complex Banach space $X$. In this note, we show that a lemma used in the proof of the main result of [ Taghavi and Hosseinzadeh, linear and Multilinear algebra (2013) 1285-1292.] has an incorrect proof. Then, instead of such a lemma, we provide two elementary lemmas to obtain a proof of Taghavi and Hosseinzadeh's main result free of errors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01006 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comment on Maps preserving the dimension of fixed points of products of operators Elouazzani, S. Elhodaibi, M. Saber, S. Functional Analysis Spectral Theory 46J10, 47B48 Let $\mathcal{B} (X)$ be the algebra of all bounded linear operators on an infinite-dimensional complex Banach space $X$. In this note, we show that a lemma used in the proof of the main result of [ Taghavi and Hosseinzadeh, linear and Multilinear algebra (2013) 1285-1292.] has an incorrect proof. Then, instead of such a lemma, we provide two elementary lemmas to obtain a proof of Taghavi and Hosseinzadeh's main result free of errors. |
| title | Comment on Maps preserving the dimension of fixed points of products of operators |
| topic | Functional Analysis Spectral Theory 46J10, 47B48 |
| url | https://arxiv.org/abs/2412.01006 |