张世芳;陈洁;

• 1:福建师范大学数学与计算机科学学院

摘要(Abstract)：

设P,Q是有单位元的Banach代数U上的幂等元,a,b为非零复数.讨论了在PQP=PQ,PQP=QPQ,PQ=QP条件下,线性组合aP+bQ的Drazin逆表示和相应的Drazin指标,结果是相关文献定理的推广.特别地,利用线性组合aP+bQ的群逆的性质和表达式给出了P,Q可交换的一个充要条件.

关键词(KeyWords)： 幂等元;Drazin逆;群逆;线性组合

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金资助项目(11171066);; 福建省自然科学基金资助项目(2012J05003)

作者(Authors): 张世芳;陈洁;

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