Let be a Riesz algebra with an extended norm such that is complete. Also, let be another extended norm in weaker than such that whenever (a) and in , then ; (b) and in , then . Let and be two nonnegative real numbers. Assume that a map satisfies and for all . In this paper, we prove that there exists a unique derivation such that , (). Moreover, for all .
"Approximate Riesz Algebra-Valued Derivations." Abstr. Appl. Anal. 2012 (SI14) 1 - 5, 2012. https://doi.org/10.1155/2012/240258