Commutativity Theorems and Projection on the Center of a Banach Algebra
oraz | 07 mar 2023
O artykule
Data publikacji: 07 mar 2023
Zakres stron: 119 - 130
DOI: https://doi.org/10.2478/tmmp-2023-0009
Słowa kluczowe
© 2023 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Let 𝑥 be a Banach algebra. In this article, on the one hand, we proved some results concerning the continuous projection from 𝑥 to its center. On the other hand, we investigate the commutativity of 𝑥 under specific conditions. Finally, we included some examples and applications to prove that various restrictions in the hypotheses of our theorems are necessary.