Turkish Journal of Mathematics
DOI
10.3906/mat-1112-6
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.
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
