Key points are not available for this paper at this time.
Abstract This paper is concerned with continuity and differentiability of N EMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differentiability in the sense of F RÉCHET and G ÂTEAUX . Finally, second order differentiability is briefly discussed.
Goldberg et al. (Wed,) studied this question.