Zanin, D. V.; Sukochev, F. A. Connes integration formula: a constructive approach. (English. Russian original) Zbl 07735979 Funct. Anal. Appl. 57, No. 1, 40-59 (2023); translation from Funkts. Anal. Prilozh. 57, No. 1, 52-76 (2023). Reviewer: Igor V. Nikolaev (New York) MSC: 46L89 58B34 58J42 PDFBibTeX XMLCite \textit{D. V. Zanin} and \textit{F. A. Sukochev}, Funct. Anal. Appl. 57, No. 1, 40--59 (2023; Zbl 07735979); translation from Funkts. Anal. Prilozh. 57, No. 1, 52--76 (2023) Full Text: DOI arXiv
Huang, Jinghao; Pliev, Marat; Sukochev, Fedor A noncommutative Gretsky-Ostroy theorem and its applications. (English) Zbl 1515.46036 Proc. Am. Math. Soc. 151, No. 3, 1147-1155 (2023). Reviewer: Guoxing Ji (Xi’an) MSC: 46L52 47B07 46L10 46B25 PDFBibTeX XMLCite \textit{J. Huang} et al., Proc. Am. Math. Soc. 151, No. 3, 1147--1155 (2023; Zbl 1515.46036) Full Text: DOI
Huang, J.; Sukochev, F.; Zanin, D. Operator \(\theta\)-Hölder functions with respect to \(\Vert \cdot \Vert_p\), \(0< p\leqslant \infty\). (English) Zbl 07730471 J. Lond. Math. Soc., II. Ser. 105, No. 4, 2436-2477 (2022). MSC: 47A55 46L51 47A60 47B10 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Lond. Math. Soc., II. Ser. 105, No. 4, 2436--2477 (2022; Zbl 07730471) Full Text: DOI
McDonald, E.; Sukochev, F.; Zanin, D. A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry. (English) Zbl 1522.47044 Lett. Math. Phys. 112, No. 4, Paper No. 77, 45 p. (2022). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 47B10 40E05 58B34 PDFBibTeX XMLCite \textit{E. McDonald} et al., Lett. Math. Phys. 112, No. 4, Paper No. 77, 45 p. (2022; Zbl 1522.47044) Full Text: DOI arXiv
Carey, Alan; Levitina, Galina; Potapov, Denis; Sukochev, Fedor The Witten index and the spectral shift function. (English) Zbl 1492.81053 Rev. Math. Phys. 34, No. 5, Article ID 2250011, 44 p. (2022). MSC: 81Q10 81U99 19K56 47A53 PDFBibTeX XMLCite \textit{A. Carey} et al., Rev. Math. Phys. 34, No. 5, Article ID 2250011, 44 p. (2022; Zbl 1492.81053) Full Text: DOI arXiv
Huang, Jinghao; Sukochev, Fedor Isomorphic classification of \(L_{p,q}\)-spaces. II. (English) Zbl 1473.46038 J. Funct. Anal. 280, No. 12, Article ID 108994, 34 p. (2021). MSC: 46E30 PDFBibTeX XMLCite \textit{J. Huang} and \textit{F. Sukochev}, J. Funct. Anal. 280, No. 12, Article ID 108994, 34 p. (2021; Zbl 1473.46038) Full Text: DOI arXiv
McDonald, Edward; Sukochev, Fedor; Xiong, Xiao Quantum differentiability on noncommutative Euclidean spaces. (English) Zbl 07258561 Commun. Math. Phys. 379, No. 2, 491-542 (2020). MSC: 47Bxx PDFBibTeX XMLCite \textit{E. McDonald} et al., Commun. Math. Phys. 379, No. 2, 491--542 (2020; Zbl 07258561) Full Text: DOI arXiv
Huang, J.; Sukochev, F. Operator \(\theta\)-Hölder functions. (English) Zbl 1508.47018 Banach J. Math. Anal. 14, No. 3, 607-629 (2020). MSC: 47A55 46L51 47A60 47B10 47-02 PDFBibTeX XMLCite \textit{J. Huang} and \textit{F. Sukochev}, Banach J. Math. Anal. 14, No. 3, 607--629 (2020; Zbl 1508.47018) 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
Caspers, M.; Junge, M.; Sukochev, F.; Zanin, D. BMO-estimates for non-commutative vector valued Lipschitz functions. (English) Zbl 1483.47077 J. Funct. Anal. 278, No. 3, Article ID 108317, 39 p. (2020). MSC: 47C15 47D07 46L52 47B10 47L20 47A30 PDFBibTeX XMLCite \textit{M. Caspers} et al., J. Funct. Anal. 278, No. 3, Article ID 108317, 39 p. (2020; Zbl 1483.47077) Full Text: DOI arXiv
Lord, Steven; Sukochev, Fedor A.; Zanin, Dmitriy Advances in Dixmier traces and applications. (English) Zbl 1457.46064 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 491-583 (2019). MSC: 46L51 46L85 46-02 PDFBibTeX XMLCite \textit{S. Lord} et al., in: Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 -- April 7, 2017. On the occasion of Alain Connes' 70th Birthday. Cham: Springer. 491--583 (2019; Zbl 1457.46064) Full Text: DOI
Connes, Alain; Levitina, Galina; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy Noncommutative geometry for symmetric non-self-adjoint operators. (English) Zbl 07063161 J. Funct. Anal. 277, No. 3, 889-936 (2019). MSC: 47-XX 46-XX PDFBibTeX XMLCite \textit{A. Connes} et al., J. Funct. Anal. 277, No. 3, 889--936 (2019; Zbl 07063161) Full Text: DOI arXiv
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy Sign of a perturbed massive Dirac operator and associated Fredholm module. (English) Zbl 1414.35191 J. Geom. Phys. 136, 244-267 (2019). MSC: 35Q41 81Q10 35P15 45P05 35Q40 PDFBibTeX XMLCite \textit{G. Levitina} et al., J. Geom. Phys. 136, 244--267 (2019; Zbl 1414.35191) Full Text: DOI
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri On the Witten index in terms of spectral shift functions. (English) Zbl 1481.47012 J. Anal. Math. 132, 1-61 (2017). MSC: 47A53 PDFBibTeX XMLCite \textit{A. Carey} et al., J. Anal. Math. 132, 1--61 (2017; Zbl 1481.47012) 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
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
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. Index theory for locally compact noncommutative geometries. (English) Zbl 1314.46081 Mem. Am. Math. Soc. 1085, v, 127 p. (2014). MSC: 46L87 46L51 46L80 19K35 19K56 58J05 58J20 58J30 58J32 58J42 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Index theory for locally compact noncommutative geometries. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1314.46081) Full Text: DOI arXiv
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri The index formula and the spectral shift function for relatively trace class perturbations. (English) Zbl 1220.47017 Adv. Math. 227, No. 1, 319-420 (2011). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 47A53 58J30 47A10 47A40 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Adv. Math. 227, No. 1, 319--420 (2011; Zbl 1220.47017) Full Text: DOI arXiv
Lord, Steven; Potapov, Denis; Sukochev, Fedor Measures from Dixmier traces and zeta functions. (English) Zbl 1242.46072 J. Funct. Anal. 259, No. 8, 1915-1949 (2010). MSC: 46L51 46L89 PDFBibTeX XMLCite \textit{S. Lord} et al., J. Funct. Anal. 259, No. 8, 1915--1949 (2010; Zbl 1242.46072) Full Text: DOI arXiv
Carey, Alan; Potapov, Denis; Sukochev, Fedor Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. (English) Zbl 1217.58016 Adv. Math. 222, No. 5, 1809-1849 (2009). Reviewer: Weiping Li (Stillwater) MSC: 58J30 47A53 58B15 58J42 PDFBibTeX XMLCite \textit{A. Carey} et al., Adv. Math. 222, No. 5, 1809--1849 (2009; Zbl 1217.58016) Full Text: DOI arXiv
Potapov, D.; Sukochev, F. Unbounded Fredholm modules and double operator integrals. (English) Zbl 1189.46063 J. Reine Angew. Math. 626, 159-185 (2009). Reviewer: Debashish Goswami (Kolkata) MSC: 46L89 PDFBibTeX XMLCite \textit{D. Potapov} and \textit{F. Sukochev}, J. Reine Angew. Math. 626, 159--185 (2009; Zbl 1189.46063) Full Text: DOI
Azamov, N. A.; Carey, A. L.; Sukochev, F. A. The spectral shift function and spectral flow. (English) Zbl 1129.58008 Commun. Math. Phys. 276, No. 1, 51-91 (2007). MSC: 58J42 58J30 47A53 47A55 46Lxx PDFBibTeX XMLCite \textit{N. A. Azamov} et al., Commun. Math. Phys. 276, No. 1, 51--91 (2007; Zbl 1129.58008) Full Text: DOI arXiv
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. The local index formula in semifinite von Neumann algebras. II: the even case. (English) Zbl 1101.46045 Adv. Math. 202, No. 2, 517-554 (2006). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L80 19K56 58B34 46L87 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Adv. Math. 202, No. 2, 517--554 (2006; Zbl 1101.46045) Full Text: DOI arXiv
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. The local index formula in semifinite von Neumann algebras. I: Spectral flow. (English) Zbl 1118.46060 Adv. Math. 202, No. 2, 451-516 (2006). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L80 19K56 58B34 46L87 58J30 58J22 58J42 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Adv. Math. 202, No. 2, 451--516 (2006; Zbl 1118.46060) Full Text: DOI arXiv
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. The Hochschild class of the Chern character for semifinite spectral triples. (English) Zbl 1058.19002 J. Funct. Anal. 213, No. 1, 111-153 (2004). Reviewer: Peter Haskell (Blacksburg) MSC: 19K56 58J22 58J42 46L80 46L87 58B34 PDFBibTeX XMLCite \textit{A. L. Carey} et al., J. Funct. Anal. 213, No. 1, 111--153 (2004; Zbl 1058.19002) Full Text: DOI arXiv
Carey, Alan; Phillips, John; Sukochev, Fyodor Spectral flow and Dixmier traces. (English) Zbl 1015.19003 Adv. Math. 173, No. 1, 68-113 (2003). Reviewer: V.M.Manuilov (Moskva) MSC: 19K56 46L80 46L87 58B34 PDFBibTeX XMLCite \textit{A. Carey} et al., Adv. Math. 173, No. 1, 68--113 (2003; Zbl 1015.19003) Full Text: DOI arXiv