The Noncommutative Singer-Wermer Conjecture and Generalized Skew Derivations

Feng Wei*, Jing Xiong Xu

*此作品的通讯作者

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

The noncommutative Singer-Wermer conjecture states that every linear derivation on a noncommutative Banach algebra maps into its Jacobson radical. This conjecture is still an open question for more than thirty years. In this paper, the question of when a generalized skew derivation on a Banach algebra has quasinilpotent values is considered and how this question is related to the noncommutative Singer-Wermer conjecture is discussed.

源语言英语
主期刊名Advances in Ring Theory and Applications - WARA22
编辑Shakir Ali, Mohammad Ashraf, Nadeem ur Rehman, Vincenzo De Filippis
出版商Springer
189-206
页数18
ISBN(印刷版)9783031507946
DOI
出版状态已出版 - 2024
活动Workshop on Associative Rings and Algebras with Additional Structures, WARA 2022 - Messina, 意大利
期限: 18 7月 202220 7月 2022

出版系列

姓名Springer Proceedings in Mathematics and Statistics
443
ISSN(印刷版)2194-1009
ISSN(电子版)2194-1017

会议

会议Workshop on Associative Rings and Algebras with Additional Structures, WARA 2022
国家/地区意大利
Messina
时期18/07/2220/07/22

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