@article{Boichuk_Zhuravlev_Pokutnyi_2013, title={Normally solvable operator equations in a Banach space}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2411}, abstractNote={On the basis of a generalization of the well-known Schmidt lemma to the case of linear, bounded, normally solvable operators in Banach spaces, we propose a procedure for the construction of a generalized inverse for a linear, bounded, normally solvable operator whose kernel and image are complementable in the indicated spaces. This construction allows one to obtain a solvability criterion for linear normally solvable operator equations and a formula for finding their general solutions.}, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={BoichukО. A. and Zhuravlev, V. F. and PokutnyiО. О.}, year={2013}, month={Feb.}, pages={163-174} }