Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Usachev, Aleksandr Sergeevich
Candidate of physico-mathematical sciences (2009)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person43768
List of publications on Google Scholar
https://orcid.org/0000-0002-6645-676X

Publications in Math-Net.Ru Citations
2025
1. S. V. Astashkin, E. M. Semenov, A. S. Usachev, “Operators defined on the set of Banach limits”, Sibirsk. Mat. Zh., 66:5 (2025),  811–817  mathnet; Siberian Math. J., 66:5 (2025), 1134–1139
2024
2. N. N. Avdeev, R. E. Zvolinskii, E. M. Semenov, A. S. Usachev, “The set of Banach limits and its discrete and continuous subsets”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  61–64  mathnet  elib; Dokl. Math., 110:1 (2024), 346–348
3. R. E. Zvolinskii, E. M. Semenov, A. S. Usachev, “Invariant Banach limits and singular traces”, Sibirsk. Mat. Zh., 65:6 (2024),  1164–1172  mathnet; Siberian Math. J., 65:6 (2024), 1336–1342
2021
4. N. N. Avdeev, E. M. Semenov, A. S. Usachev, “Banach limits: extreme properties, invariance, and the Fubini theorem”, Algebra i Analiz, 33:4 (2021),  32–48  mathnet; St. Petersburg Math. J., 33:4 (2022), 607–618 3
5. M. Goffeng, A. S. Usachev, “Weierstrass Functions Separate All Traces”, Mat. Zametki, 110:5 (2021),  786–788  mathnet  elib; Math. Notes, 110:5 (2021), 796–798  isi  scopus 1
2020
6. E. M. Semenov, F. A. Sukochev, A. S. Usachev, “Geometry of Banach limits and their applications”, Uspekhi Mat. Nauk, 75:4(454) (2020),  153–194  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 75:4 (2020), 725–763  isi  scopus 18
7. A. S. Usachev, “Extreme points of the set of dilation–invariant banach limits”, Sibirsk. Mat. Zh., 61:5 (2020),  1122–1129  mathnet  elib; Siberian Math. J., 61:5 (2020), 895–900  isi  scopus
2019
8. E. M. Semenov, F. A. Sukochev, A. Usachev, “The main classes of invariant Banach limits”, Izv. RAN. Ser. Mat., 83:1 (2019),  140–167  mathnet  mathscinet  zmath  elib; Izv. Math., 83:1 (2019), 124–150  isi  scopus 9
9. N. N. Avdeev, E. M. Semenov, A. S. Usachev, “Banach Limits and a Measure on the Set of 0-1-Sequences”, Mat. Zametki, 106:5 (2019),  784–787  mathnet  mathscinet  elib; Math. Notes, 106:5 (2019), 834–837  isi  scopus 3
2016
10. E. A. Alekhno, E. M. Semenov, F. A. Sukochev, A. S. Usachev, “Order and geometric properties of the set of Banach limits”, Algebra i Analiz, 28:3 (2016),  3–35  mathnet  mathscinet  elib; St. Petersburg Math. J., 28:3 (2017), 299–321  isi  scopus 14
2014
11. E. M. Semenov, F. A. Sukochev, A. S. Usachev, “Geometric properties of the set of Banach limits”, Izv. RAN. Ser. Mat., 78:3 (2014),  177–204  mathnet  mathscinet  zmath  elib; Izv. Math., 78:3 (2014), 596–620  isi  scopus 20
2008
12. A. S. Usachev, “Transformations in the space of almost convergent sequences”, Sibirsk. Mat. Zh., 49:6 (2008),  1427–1429  mathnet  mathscinet  elib; Siberian Math. J., 49:6 (2008), 1136–1137  isi  scopus 2

Presentations in Math-Net.Ru
1. Банаховы пределы, сингулярные следы и их приложения.
Banach limits, singular traces and their applications.
A. S. Usachev
Functional Analysis and applications
November 23, 2021 12:00
2. Banach limits, singular traces and their applications.
A. S. Usachev
Scientific seminar on the differential and functional differential equations
November 9, 2021 12:00   

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025