Fan, Zhijie; Li, Ji; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups. (English) Zbl 07765649 J. Funct. Anal. 286, No. 1, Article ID 110188, 72 p. (2024). MSC: 47B10 42B20 43A85 PDFBibTeX XMLCite \textit{Z. Fan} et al., J. Funct. Anal. 286, No. 1, Article ID 110188, 72 p. (2024; Zbl 07765649) Full Text: DOI arXiv
Sukochev, Fedor; Xiong, Xiao; Zanin, Dmitriy Asymptotics of singular values for quantised derivatives on noncommutative tori. (English) Zbl 1526.46048 J. Funct. Anal. 285, No. 5, Article ID 110021, 42 p. (2023). MSC: 46L89 58B34 47G30 PDFBibTeX XMLCite \textit{F. Sukochev} et al., J. Funct. Anal. 285, No. 5, Article ID 110021, 42 p. (2023; Zbl 1526.46048) Full Text: DOI
Frank, Rupert L.; Sukochev, Fedor; Zanin, Dmitriy Asymptotics of singular values for quantum derivatives. (English) Zbl 1516.46046 Trans. Am. Math. Soc. 376, No. 3, 2047-2088 (2023). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 PDFBibTeX XMLCite \textit{R. L. Frank} et al., Trans. Am. Math. Soc. 376, No. 3, 2047--2088 (2023; Zbl 1516.46046) Full Text: DOI arXiv
Pliev, M.; Sukochev, F.; Zanin, D. \(L_p\)-bounds for the Krein spectral shift function: \(0<p<\infty\). (English) Zbl 1475.46052 Russ. J. Math. Phys. 27, No. 4, 491-499 (2020). MSC: 46L51 46L52 PDFBibTeX XMLCite \textit{M. Pliev} et al., Russ. J. Math. Phys. 27, No. 4, 491--499 (2020; Zbl 1475.46052) Full Text: DOI
Huang, J.; Sukochev, F. Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\). (English) Zbl 1457.46065 Math. Z. 293, No. 3-4, 1657-1672 (2019). Reviewer: Stanisław Goldstein (Łódź) MSC: 46L52 46B70 46E30 47A57 46B04 PDFBibTeX XMLCite \textit{J. Huang} and \textit{F. Sukochev}, Math. Z. 293, No. 3--4, 1657--1672 (2019; Zbl 1457.46065) Full Text: DOI arXiv
Coine, Clément; Le Merdy, Christian; Skripka, Anna; Sukochev, Fedor Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula. (English) Zbl 07040991 J. Funct. Anal. 276, No. 10, 3170-3204 (2019). MSC: 47B49 47A55 46L52 PDFBibTeX XMLCite \textit{C. Coine} et al., J. Funct. Anal. 276, No. 10, 3170--3204 (2019; Zbl 07040991) Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor The spectral shift function and the Witten index. (English) Zbl 06981831 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 254, 71-105 (2016). MSC: 47A53 58J30 47A10 47A40 PDFBibTeX XMLCite \textit{A. Carey} et al., Oper. Theory: Adv. Appl. 254, 71--105 (2016; Zbl 06981831) Full Text: DOI arXiv
Coine, Clement; Le Merdy, Christian; Potapov, Denis; Sukochev, Fedor; Tomskova, Anna Peller’s problem concerning Koplienko-Neidhardt trace formulae: the unitary case. (English) Zbl 1350.47011 J. Funct. Anal. 271, No. 7, 1747-1763 (2016). MSC: 47A55 47B10 47A56 PDFBibTeX XMLCite \textit{C. Coine} et al., J. Funct. Anal. 271, No. 7, 1747--1763 (2016; Zbl 1350.47011) Full Text: DOI arXiv
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Functions of unitary operators: derivatives and trace formulas. (English) Zbl 1336.47014 J. Funct. Anal. 270, No. 6, 2048-2072 (2016). MSC: 47A56 47A55 47B10 46G05 PDFBibTeX XMLCite \textit{D. Potapov} et al., J. Funct. Anal. 270, No. 6, 2048--2072 (2016; Zbl 1336.47014) Full Text: DOI
Potapov, Denis; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy Singular traces and perturbation formulae of higher order. (English) Zbl 1319.47011 J. Funct. Anal. 269, No. 5, 1441-1481 (2015). MSC: 47A55 47A56 47B10 PDFBibTeX XMLCite \textit{D. Potapov} et al., J. Funct. Anal. 269, No. 5, 1441--1481 (2015; Zbl 1319.47011) Full Text: DOI arXiv
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Trace formulas for resolvent comparable operators. (English) Zbl 1317.47017 Adv. Math. 272, 630-651 (2015). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 47A55 47A56 47B10 PDFBibTeX XMLCite \textit{D. Potapov} et al., Adv. Math. 272, 630--651 (2015; Zbl 1317.47017) Full Text: DOI
Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy Krein’s trace theorem revisited. (English) Zbl 1328.47022 J. Spectr. Theory 4, No. 2, 415-430 (2014). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B10 47A60 47C15 PDFBibTeX XMLCite \textit{D. Potapov} et al., J. Spectr. Theory 4, No. 2, 415--430 (2014; Zbl 1328.47022) Full Text: DOI arXiv
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Spectral shift function of higher order. (English) Zbl 1282.47012 Invent. Math. 193, No. 3, 501-538 (2013). Reviewer: Yaogan Mensah (Lomé) MSC: 47A55 47A56 46L52 PDFBibTeX XMLCite \textit{D. Potapov} et al., Invent. Math. 193, No. 3, 501--538 (2013; Zbl 1282.47012) Full Text: DOI arXiv
Potapov, Denis; Sukochev, Fedor Koplienko spectral shift function on the unit circle. (English) Zbl 1236.47017 Commun. Math. Phys. 309, No. 3, 693-702 (2012). Reviewer: Oscar Blasco (Valencia) MSC: 47B10 PDFBibTeX XMLCite \textit{D. Potapov} and \textit{F. Sukochev}, Commun. Math. Phys. 309, No. 3, 693--702 (2012; Zbl 1236.47017) Full Text: DOI
Azamov, N. A.; Sukochev, F. A. Spectral averaging for trace compatible operators. (English) Zbl 1156.47002 Proc. Am. Math. Soc. 136, No. 5, 1769-1778 (2008). Reviewer: Yufeng Lu (Dalian) MSC: 47A11 47A55 PDFBibTeX XMLCite \textit{N. A. Azamov} and \textit{F. A. Sukochev}, Proc. Am. Math. Soc. 136, No. 5, 1769--1778 (2008; Zbl 1156.47002) Full Text: DOI arXiv