On invertibility of combinations of k-potent operators

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• 作者：Chunyuan Deng^a ; ¹ ; ^{cydeng@scnu.edu.cn} ; ^{cy-deng@263.net} ; Dragana S. Cvetković ; -Ilić ; ^b ; ² ; ^{gagamaka@ptt.rs} ; ^{dragana@pmf.ni.ac.rs} ; Yimin Wei^c ; ^d ; ³ ; ^{ymwei@fudan.edu.cn} ; ^{yimin.wei@gmail.com}
• 关键词：15A09 ; 47A05
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：1 July, 2012
• 卷：437
• 期：1
• 页码：376-387
• 文件大小：303 K

摘要

Some properties of combinations , where and are two different nonzero k-potents, , and are three nonzero complex numbers and positive integers and , are obtained. Furthermore, the invertibility, the group invertibility and the k-potency of the linear combinations of k-potents are investigated, under certain commutativity properties imposed on them.