Some additive results for the generalized Drazin inverse in a Banach algebra
Some additive results for the generalized Drazin inverse in a Banach algebra
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DOI：
10.13001/1081-3810.1490
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发表时间：
2011
影响因子：
0.7
通讯作者：
D. Cvetković-Ilić;Xiaoji Liu;Yimin Wei
中科院分区：
文献类型：
--
作者：
D. Cvetković-Ilić;Xiaoji Liu;Yimin Wei
。本文给出了Ba-nach代数中广义Drazin逆的可加性结果。给出了两个可交换广义Drazin可逆元和的广义Drazin可逆性的充分必要条件。这些结果是对论文[C.Y.]的结果的概括邓和Y.魏。广义Drazin逆的新加性结果。j .数学。分析的。达成。中文信息学报，37(3):313 - 321,2010。巴拿赫代数的例子。
. In this note, additive results are presented for the generalized Drazin inverse in Ba-nach algebra. Necessary and sufficient conditions are given for the generalized Drazin invertibility of the sum of two commuting generalized Drazin invertible elements. These results are a generalization of the results from the paper [C.Y. Deng and Y. Wei. New additive results for the generalized Drazin inverse. J. Math. Anal. Appl. , 370:313–321, 2010.] to the Banach algebra case.