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arXiv · 2412.01006

Comment on Maps preserving the dimension of fixed points of products of operators

S. Elouazzani·M. Elhodaibi·S. Saber
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Abstract

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.

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S. Elouazzani, M. Elhodaibi, S. Saber. 2024-12-01. Comment on Maps preserving the dimension of fixed points of products of operators. https://arxiv.org/abs/2412.01006

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