Usachev, Alexandr Hausdorff dimension of the set of almost convergent sequences. (English) Zbl 1501.11081 Glasg. Math. J. 64, No. 3, 691-697 (2022). Reviewer: István Gaál (Debrecen) MSC: 11K55 40G99 46B45 47B37 PDFBibTeX XMLCite \textit{A. Usachev}, Glasg. Math. J. 64, No. 3, 691--697 (2022; Zbl 1501.11081) 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
Goffeng, Magnus; Usachev, Alexandr Estimating Dixmier traces of Hankel operators in Lorentz ideals. (English) Zbl 1518.47049 J. Funct. Anal. 279, No. 7, Article ID 108688, 27 p. (2020). MSC: 47B35 47B10 46L51 PDFBibTeX XMLCite \textit{M. Goffeng} and \textit{A. Usachev}, J. Funct. Anal. 279, No. 7, Article ID 108688, 27 p. (2020; Zbl 1518.47049) Full Text: DOI arXiv
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
Goffeng, Magnus; Usachev, Alexandr Dixmier traces and residues on weak operator ideals. (English) Zbl 1441.58006 J. Math. Anal. Appl. 488, No. 2, Article ID 124045, 52 p. (2020). Reviewer: David Kapanadze (Tbilisi) MSC: 58B34 47L20 47G30 PDFBibTeX XMLCite \textit{M. Goffeng} and \textit{A. Usachev}, J. Math. Anal. Appl. 488, No. 2, Article ID 124045, 52 p. (2020; Zbl 1441.58006) Full Text: DOI arXiv
Goffeng, Magnus; Rennie, Adam; Usachev, Alexandr Constructing KMS states from infinite-dimensional spectral triples. (English) Zbl 1420.81020 J. Geom. Phys. 143, 107-149 (2019). MSC: 81T15 81T27 46L60 82B30 58J30 PDFBibTeX XMLCite \textit{M. Goffeng} et al., J. Geom. Phys. 143, 107--149 (2019; Zbl 1420.81020) Full Text: DOI arXiv
Sukochev, Fedor; Usachev, Alexandr Dixmier traces and non-commutative analysis. (English) Zbl 1422.47028 J. Geom. Phys. 105, 102-122 (2016). Reviewer: Yong Wang (Changchun) MSC: 47B10 47G30 58B34 58J42 PDFBibTeX XMLCite \textit{F. Sukochev} and \textit{A. Usachev}, J. Geom. Phys. 105, 102--122 (2016; Zbl 1422.47028) Full Text: DOI
Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy Banach limits and traces on \(\mathcal{L}_{1, \infty}\). (English) Zbl 1405.47007 Adv. Math. 285, 568-628 (2015). MSC: 47B10 47G30 58B34 58J42 PDFBibTeX XMLCite \textit{E. Semenov} et al., Adv. Math. 285, 568--628 (2015; Zbl 1405.47007) Full Text: DOI arXiv