International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 611-616
doi:10.1155/S0161171290000850

Remarks on quadratic equations in Banach space

Ioannis K. Argyros

Department of Mathematical Sciences, New Mexico State University, Las Cruces 88003, NM, USA

Abstract

We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multilinear equations in a Banach space X, by assuming the existence of a certain limit of linear operators in a suitable subspace of X.