Turkish Journal of Mathematics
Abstract
Main results: For every equicontinuous almost periodic linear representation of a group in a complete locally convex space L with the countability property, there exists the unique invariant averaging; it is continuous and is expressed by using the L-valued invariant mean of Bochner and von-Neumann. An analog of Wiener's approximation theorem for an equicontinuous almost periodic linear representation in a locally convex space with the countability property is proved.
DOI
10.3906/mat-1112-6
Keywords
Invariant averaging, invariant mean, almost periodic function
First Page
770
Last Page
780
Recommended Citation
KHADJIEV, D, & ÇAVUŞ, A (2013). Continuous invariant averagings. Turkish Journal of Mathematics 37 (5): 770-780. https://doi.org/10.3906/mat-1112-6
