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

  • Yu. I. Petunin

Abstract

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 finding the generalized solution for infinite systems of the linear algebraic equations.
Published
25.09.1996
How to Cite
PetuninY. I. “On the Concept of Generalized Solution of Operator Equations in Banach Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 9, Sept. 1996, pp. 1286–1290, https://umj.imath.kiev.ua/index.php/umj/article/view/5242.
Section
Short communications