Normally solvable operator equations in a Banach space

• Date: 2013
• Main Authors: Boichuk, О. A., Zhuravlev, V. F., Pokutnyi, О. О., Бойчук, А. А., Журавлев, В. Ф., Покутный, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2411
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 complement...