General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions

Abstract

The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.

Keywords

• $l$-space
• $(\lambda
• \varphi)$-additive operator