Additive results for the generalized Drazin inverse

By Dragan S. Djordjevi'c, Yimin Wei. Journal of the Australian Mathematical Society, 2002

124 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On the Drazin inverse of the sum of two operators and its application to operator matrices (2009, methodology): “Hartwig, Wang and Wei [14] gave an expression for (A + B)D , for complex square matrices, when only the one side condition AB = 0 is required and this result was extended for operators by Djordjević and Wei in [10].”
New additive results for the generalized Drazin inverse (2010, background): “Compare Theorem 1 with the results of [15], we can see that our result gives some analogue to the expression (P + Q )d with the condition P Q = 0 in [15].”
Additive Results for the Generalized Drazin Inverse in a Banach Algebra (2015, unknown): “1 Let x be defined as in (4) and let u be defined as in (7).”
The Drazin inverses of sum and difference of idempotents (2009, methodology): “We shall assume familiarity with the theory of Drazin inverse as given in [2,4,5,7–14,16–20].”
The representation and characterization of Drazin inverses of operators on a Hilbert space (2005, unknown): “(4) Using a similar idea, it is not difficult to extend our results to the generalized Drazin inverse [4,8] of linear operator and W-weighted Drazin inverse [10,15] of linear operator.”