Continuous invariant averagings

Authors : Djavvat Khadjiev, Abdullah Çavuş

Pages : 770-780

Doi:10.3906/mat-1112-6

View : 20 | Download : 13

Publication Date : 9999-12-31

Article Type : Makaleler

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