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, DJAVVAT and ÇAVUŞ, ABDULLAH
(2013)
"Continuous invariant averagings,"
Turkish Journal of Mathematics: Vol. 37:
No.
5, Article 5.
https://doi.org/10.3906/mat-1112-6
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss5/5
