On the concept of generalized solution of operator equations in banach spaces

• Date: 1996
• Main Authors: Petunin, Yu. I., Петунин, Ю. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5242
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce a new concept of generalized solution of operator equations with closed linear operator in a Banach space as an element of the completion of the space in certain locally convex topology. We prove a theorem on the existence and uniqueness of a generalized solution and give examples of fi...