Geodesic
The main classes of invariant Banach limits
Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 124-150

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We study functional characteristics and extreme points of the set of Banach limits on the space of bounded sequences. We also consider Banach limits with additional invariance properties with respect to the dilation operator and the Cesàro operator.
Keywords: invariant Banach limits, extreme points, Cesàro operator, dilation operator. 
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     author = {E. M. Semenov and F. A. Sukochev and A. Usachev},
     title = {The main classes of invariant {Banach} limits},
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E. M. Semenov; F. A. Sukochev; A. Usachev. The main classes of invariant Banach limits. Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 124-150. http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a5/