福建师范大学学报（自然科学版）2012，Vol.28Issue(5)：1-5,5.
幂等元线性组合的Drazin可逆性
Drazin Invertibility of the Linear Combinations of Idempotents
摘要
Abstract
Let P and Q be idempotents on the Banach algebra U with unit e, a and b be complex numbers with a ≠ 0 and b ≠ 0 . The representations for the Drazin inverse of aP + bQ under some condition such as PQP = PQ,PQP = QPQ and PQ = QP are obtained. Moreover, an necessary and sufficient conditions for PQ = QP holds is given.关键词
幂等元/Drazin逆/群逆/线性组合Key words
idempotent/ Drazin inverse/ group inverse/ linear combination分类
数理科学引用本文复制引用
张世芳,陈洁..幂等元线性组合的Drazin可逆性[J].福建师范大学学报（自然科学版）,2012,28(5):1-5,5.基金项目
国家自然科学基金资助项目(11171066) （11171066）
福建省自然科学基金资助项目(2012J05003) （2012J05003）
