Volume 27 • Number 1 • 2004   • Superposition Operators on Supama and Soeparna Darmawijaya Abstract. For any linear operator on a Banach space, the continuity and boundedness are equivalent. It fails for a nonlinear operator, in particular, for a superposition operator. In this paper, we present sufficient and necessary conditions in terms of an inequality for the continuity of a superposition operator on the function space .   2000 Mathematics Subject Classification: 47B38 Full text: PDF