THE DRAZIN INVERSES OF PRODUCTS AND DIFFERENCES OF PROJECTIONS IN A C*-ALGEBRA

Journal of the Australian Mathematical Society

YUAN LI¹ 

关键词: primary 15A09;    secondary 46L99;    65F20;   

DOI  :  10.1017/S1446788708000451

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

For two given projections p and q in a C*-algebra, we investigate how to express the Drazin inverses of the product pq and the difference p−q, and give applications. As a special case, we obtain the results of [C. Y. Deng, ‘The Drazin inverses of products and differences of orthogonal projections’, J. Math. Anal. Appl.335 (2007) 64–71], with considerably simpler proofs.

【 授权许可】

Unknown