Usachev Aleksandr Sergeevich

Publications in Math-Net.Ru

1. General averaging operators and Banach limits
   
   Vladikavkaz. Mat. Zh., 28:2 (2026),  80–90
2. Operators defined on the set of Banach limits
   
   Sibirsk. Mat. Zh., 66:5 (2025),  811–817
3. The set of Banach limits and its discrete and continuous subsets
   
   Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  61–64
4. Invariant Banach limits and singular traces
   
   Sibirsk. Mat. Zh., 65:6 (2024),  1164–1172
5. Banach limits: extreme properties, invariance, and the Fubini theorem
   
   Algebra i Analiz, 33:4 (2021),  32–48
6. Weierstrass Functions Separate All Traces
   
   Mat. Zametki, 110:5 (2021),  786–788
7. Geometry of Banach limits and their applications
   
   Uspekhi Mat. Nauk, 75:4(454) (2020),  153–194
8. Extreme points of the set of dilation–invariant banach limits
   
   Sibirsk. Mat. Zh., 61:5 (2020),  1122–1129
9. The main classes of invariant Banach limits
   
   Izv. RAN. Ser. Mat., 83:1 (2019),  140–167
10. Banach Limits and a Measure on the Set of 0-1-Sequences
    
    Mat. Zametki, 106:5 (2019),  784–787
11. Order and geometric properties of the set of Banach limits
    
    Algebra i Analiz, 28:3 (2016),  3–35
12. Geometric properties of the set of Banach limits
    
    Izv. RAN. Ser. Mat., 78:3 (2014),  177–204
13. Transformations in the space of almost convergent sequences
    
    Sibirsk. Mat. Zh., 49:6 (2008),  1427–1429


14. To the 85th Anniversary of Evgeniy Mikhailovich Semenov
    
    Vladikavkaz. Mat. Zh., 28:2 (2026),  129–145