International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 227-237
doi:10.1155/S0161171294000347

Vector-valued means and weakly almost periodic functions

Abstract

A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means. As applications of the theory of vector-valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is admissible.