Usachev Aleksandr Sergeevich

Publications in Math-Net.Ru

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