Index splitting for the Drazin inverse of linear operator in Banach space. (Q1855977)

By the index splitting method it is meant here a representation of an operator as a difference of two operators having appropriate properties. There are given two such methods for the Drazin inverse of a linear operator in Banach spaces and iterative methods for solving singular operator equations \(Tx= b\), \(b\in R(T^k)\), \(k= \text{ind}(T)\). Reviewer's remark: In the title and references of the paper under review, terms like Banach spaces, Hilbert spaces, Drazin inverse, etc., are written by minuscules (not by capitals, as customary).