摘要
In this paper we will study k-commuting mappings of generalized matrix algebras. The general form of arbitrary k-commuting mapping of a generalized matrix algebra is determined. It is shown that under mild assumptions, every k-commuting mapping of a generalized matrix algebra takes a certain form which is said to be proper. A number of applications related to k-commuting mappings are presented. These results extend the existing works of Cheung (J Lond Math Soc 63:117–127, 2001), Du and Wang (Linear Algebra Appl 436:1367–1375 2012) to the case of generalized matrix algebras.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 50-77 |
| 页数 | 28 |
| 期刊 | Periodica Mathematica Hungarica |
| 卷 | 79 |
| 期 | 1 |
| DOI | |
| 出版状态 | 已出版 - 1 9月 2019 |
指纹
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Li, Y., Wei, F., & Fošner, A. (2019). k-commuting mappings of generalized matrix algebras. Periodica Mathematica Hungarica, 79(1), 50-77. https://doi.org/10.1007/s10998-018-0260-1