On the theory of non-linear operators
Sadayuki Yamamuro · Proceedings of the Japan Academy Series A Mathematical Sciences · 1960
In this note, we consider the eigenvalue problem of some kinds of non-linear integral operators of Hammerstein type.In 1, we will give a general principle, and, in 2, we will apply it to the case of integral operators of Hammerstein type defined on Banach function spaces.1. Let R be a Banach space ) and R be its conjugate space.For C eR and C