Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2012 / Cilt: 5 - Sayı: 4
The Drazin inverses of combinations of two idempotents
- Pages
- 480–491
- DOI
- —
Abstract
By using the methods of splitting operator’s matrix into blocks and space decompositions, the existence and calculation formulas of Drazin inverse of the combinations aP + bQ+cPQ+dQP of two idempotent operators P and Q on a Hilbert space are obtained under the conditions PQP = 0, PQP = P and PQP = PQ respectively. These generalized the related results of Deng’s work, which characterized the Drazin inverse of the sum and difference of two idempotents. 2010 Mathematics Subject Classifications: 15A09, 47A05