Geodesic
Invariant Banach Limits and Their Convex Subsets
Matematičeskie zametki, Tome 112 (2022) no. 6, pp. 820-824

Voir la notice de l'article provenant de la source Math-Net.Ru

Sets of Banach limits invariant under dilation operators are studied. The convexity of such sets is investigated. Minimal subsets are introduced and studied.
Keywords: Banach limit, space of bounded sequences, dilation operator. 
@article{MZM_2022_112_6_a2,
     author = {R. E. Zvolinskii and E. M. Semenov},
     title = {Invariant {Banach} {Limits} and {Their} {Convex} {Subsets}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {820--824},
     publisher = {mathdoc},
     volume = {112},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_6_a2/}
}
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R. E. Zvolinskii; E. M. Semenov. Invariant Banach Limits and Their Convex Subsets. Matematičeskie zametki, Tome 112 (2022) no. 6, pp. 820-824. http://geodesic.mathdoc.fr/item/MZM_2022_112_6_a2/