Commutativity theorems and projection on the center of a Banach algebra

Year, pages: 2023, 119 - 130

Let $ \mathcal{X}$ be a Banach algebra. In this article, on the one hand, we proved some results concerning the continuous projection from $\mathcal{X}$ to its center. On the other hand, we investigate the commutativity of $\mathcal{X}$ under specific conditions. Finally, we included some examples and applications to prove that various restrictions in the hypotheses of our theorems are necessary.

Moumen, M., Taoufiq, L. 2023. Commutativity theorems and projection on the center of a Banach algebra. In Tatra Mountains Mathematical Publications, vol. 83, no.1, pp. 119-130. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0009

Moumen, M., Taoufiq, L. (2023). Commutativity theorems and projection on the center of a Banach algebra. Tatra Mountains Mathematical Publications, 83(1), 119-130. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0009

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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