Conditions of solvability and submission of solutions of equations with operator matrix in banach spaces

• Date: 2023
• Main Authors: Zhuravlev, V. P., Fomin, N. P., Zabrodskiy, P. N., Журавлев, Валерий Филиппович, Фомин, Николай Павлович, Забродский, Павел Николаевич, Журавльов, Валерій Пилипович, Фомін, Микола Павлович, Забродський, Павло Миколайович
• Format: Article
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/305
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The paper proposed methods for constructing a generalized inverse operator matrices to operator matrices in Banach spaces. Solvability criteria and formulas for representations of general solutions of operator equations with operator matrices are obtained. As an application, the relationship obtaine...