Usachev, Alexandr A direct approach to positive normalised traces on simply generated ideals. (English) Zbl 1521.47040 Stud. Math. 258, No. 1, 71-85 (2021). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 47B10 47B37 46B45 46A45 PDFBibTeX XMLCite \textit{A. Usachev}, Stud. Math. 258, No. 1, 71--85 (2021; Zbl 1521.47040) Full Text: DOI
Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. Geometry of Banach limits and their applications. (English. Russian original) Zbl 1464.46012 Russ. Math. Surv. 75, No. 4, 725-763 (2020); translation from Usp. Mat. Nauk 75, No. 4, 153-194 (2020). Reviewer: Jürgen Appell (Würzburg) MSC: 46B10 46B20 46B45 46A22 46L87 47L20 PDFBibTeX XMLCite \textit{E. M. Semenov} et al., Russ. Math. Surv. 75, No. 4, 725--763 (2020; Zbl 1464.46012); translation from Usp. Mat. Nauk 75, No. 4, 153--194 (2020) Full Text: DOI
Usachev, A. S. Extreme points of the set of dilation-invariant Banach limits. (English. Russian original) Zbl 1455.40012 Sib. Math. J. 61, No. 5, 895-900 (2020); translation from Sib. Mat. Zh. 61, No. 5, 1122-1129 (2020). MSC: 40H05 46B15 PDFBibTeX XMLCite \textit{A. S. Usachev}, Sib. Math. J. 61, No. 5, 895--900 (2020; Zbl 1455.40012); translation from Sib. Mat. Zh. 61, No. 5, 1122--1129 (2020) Full Text: DOI
Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy Invariant Banach limits and applications to noncommutative geometry. (English) Zbl 1455.46023 Pac. J. Math. 306, No. 1, 357-373 (2020). Reviewer: Jan-David Hardtke (Leipzig) MSC: 46B45 40H05 58B34 PDFBibTeX XMLCite \textit{E. Semenov} et al., Pac. J. Math. 306, No. 1, 357--373 (2020; Zbl 1455.46023) Full Text: DOI
Kunisada, Ryoichi Invariant linear functionals on \(L^\infty(\mathbb{R}_+)\). (English) Zbl 1430.46028 J. Math. Anal. Appl. 481, No. 1, Article ID 123452, 22 p. (2020). Reviewer: Jan-David Hardtke (Leipzig) MSC: 46E30 46E15 40H05 40G99 PDFBibTeX XMLCite \textit{R. Kunisada}, J. Math. Anal. Appl. 481, No. 1, Article ID 123452, 22 p. (2020; Zbl 1430.46028) Full Text: DOI arXiv
Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. The main classes of invariant Banach limits. (English. Russian original) Zbl 1418.46008 Izv. Math. 83, No. 1, 124-150 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 1, 140-167 (2019). Reviewer: Jan-David Hardtke (Leipzig) MSC: 46B45 46B15 40H05 PDFBibTeX XMLCite \textit{E. M. Semenov} et al., Izv. Math. 83, No. 1, 124--150 (2019; Zbl 1418.46008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 1, 140--167 (2019) Full Text: DOI
Alekhno, Egor; Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr Invariant Banach limits and their extreme points. (English) Zbl 1407.46017 Stud. Math. 242, No. 1, 79-107 (2018). Reviewer: Jan-David Hardtke (Leipzig) MSC: 46B45 40H05 47B37 PDFBibTeX XMLCite \textit{E. Alekhno} et al., Stud. Math. 242, No. 1, 79--107 (2018; Zbl 1407.46017) Full Text: DOI
Alekhno, E. A.; Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. Banach limits: invariance and functional characteristics. (English. Russian original) Zbl 1384.46017 Dokl. Math. 96, No. 1, 305-307 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 7-9 (2016). MSC: 46B99 46A35 PDFBibTeX XMLCite \textit{E. A. Alekhno} et al., Dokl. Math. 96, No. 1, 305--307 (2017; Zbl 1384.46017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 7--9 (2016) Full Text: DOI