On the Generalized Drazin Inverse and Generalized Resolvent

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Additive Results for the Generalized Drazin Inverse in a Banach Algebra (2015, unknown): “xd = [ ad 0 u dd ] + ∞ ∑ n=0 xn ⎡ ⎣ in − n ∑ k=1 b(dd)k+1c(ad)n+2−k b(dd)n+2 0 0 ⎤ ⎦ , (6)”
A note on the representation for the Drazin inverse of 2×2 block matrices (2008, methodology): “Since BD 6= 0 and D is not nilpotent, the mentioned results from [9] and [11] fail to apply.”
Characterizations of normal, hyponormal and EP operators (2007, background): “We need the following result (see [21] for a finite dimensional case, and [11] for an infinite dimensional case).”
New additive results for the generalized Drazin inverse (2010, background): “[4–38]).”
The Drazin inverses of sum and difference of idempotents (2009, methodology): “2 (see [4]).”
The representation and approximations of outer generalized inverses (2004, background): “For the most important properties see [13] and [8].”
On the Drazin inverse of the sum of two operators and its application to operator matrices (2009, methodology): “The following result due to Djordjević and Stanimirović [9] is an extension to the setting of triangular operator matrices of a well-known result of Meyer and Rose [19] concerning the Drazin inverse of a 2 × 2 block upper triangular matrix.”
Additive results for the generalized Drazin inverse (2002, unknown): “The following result is proved in [6] (see also [12] and [17] for a finite dimensional case).”