Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. (English) Zbl 07713957 Memoirs of the European Mathematical Society 4. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-049-5/pbk; 978-3-98547-549-0/ebook). viii, 213 p. (2023). MSC: 81-02 35-02 81Q05 35Q41 35J10 PDFBibTeX XMLCite \textit{A. Carey} et al., The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Berlin: European Mathematical Society (EMS) (2023; Zbl 07713957) 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
Ber, A.; Huang, J.; Levitina, G.; Sukochev, F. Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra. (English) Zbl 1494.46067 Commun. Math. Phys. 390, No. 2, 577-616 (2022). MSC: 46L57 46L51 47B47 PDFBibTeX XMLCite \textit{A. Ber} et al., Commun. Math. Phys. 390, No. 2, 577--616 (2022; Zbl 1494.46067) Full Text: DOI
Huang, Jinghao; Levitina, Galina; Sukochev, Fedor \(M\)-embedded symmetric operator spaces and the derivation problem. (English) Zbl 1485.46069 Math. Proc. Camb. Philos. Soc. 169, No. 3, 607-622 (2020). Reviewer: Stanisław Goldstein (Łódź) MSC: 46L52 46B04 46E30 PDFBibTeX XMLCite \textit{J. Huang} et al., Math. Proc. Camb. Philos. Soc. 169, No. 3, 607--622 (2020; Zbl 1485.46069) Full Text: DOI
Levitina, Galina; Sukochev, Fedor Quantised calculus for perturbed massive Dirac operator on noncommutative Euclidean space. (English) Zbl 1516.46049 Miranda, Pablo (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3–7, 2018. Cham: Springer. Lat. Am. Math. Ser., 179-198 (2020). MSC: 46L87 47B10 47B93 PDFBibTeX XMLCite \textit{G. Levitina} and \textit{F. Sukochev}, in: Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3--7, 2018. Cham: Springer. 179--198 (2020; Zbl 1516.46049) Full Text: DOI
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy Cwikel estimates revisited. (English) Zbl 1443.47023 Proc. Lond. Math. Soc. (3) 120, No. 2, 265-304 (2020). MSC: 47B10 47L20 46E30 PDFBibTeX XMLCite \textit{G. Levitina} et al., Proc. Lond. Math. Soc. (3) 120, No. 2, 265--304 (2020; Zbl 1443.47023) Full Text: DOI arXiv
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; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor On the global limiting absorption principle for massless Dirac operators. (English) Zbl 1394.81115 Ann. Henri Poincaré 19, No. 7, 1993-2019 (2018). MSC: 81Q05 81R20 47A53 47B25 82D80 PDFBibTeX XMLCite \textit{A. Carey} et al., Ann. Henri Poincaré 19, No. 7, 1993--2019 (2018; Zbl 1394.81115) Full Text: DOI arXiv
Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy Schatten class estimates for the Riesz map of massless Dirac operators. (English) Zbl 1392.35248 Integral Equations Oper. Theory 90, No. 2, Paper No. 19, 36 p. (2018). MSC: 35Q41 47B10 60H05 31A10 PDFBibTeX XMLCite \textit{G. Levitina} et al., Integral Equations Oper. Theory 90, No. 2, Paper No. 19, 36 p. (2018; Zbl 1392.35248) Full Text: DOI
Ber, A.; Huang, J.; Levitina, G.; Sukochev, F. Derivations with values in ideals of semifinite von Neumann algebras. (English) Zbl 1372.46050 J. Funct. Anal. 272, No. 12, 4984-4997 (2017). MSC: 46L57 46L10 46L52 PDFBibTeX XMLCite \textit{A. Ber} et al., J. Funct. Anal. 272, No. 12, 4984--4997 (2017; Zbl 1372.46050) Full Text: DOI
Huang, Jinghao; Levitina, Galina; Sukochev, Fedor Completeness of symmetric \(\varDelta \)-normed spaces of \(\tau \)-measurable operators. (English) Zbl 1385.46046 Stud. Math. 237, No. 3, 201-219 (2017). Reviewer: Hermann Pfitzner (Orléans) MSC: 46L52 46L10 46E30 PDFBibTeX XMLCite \textit{J. Huang} et al., Stud. Math. 237, No. 3, 201--219 (2017; Zbl 1385.46046) Full Text: DOI
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
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor Double operator integral methods applied to continuity of spectral shift functions. (English) Zbl 06694723 J. Spectr. Theory 6, No. 4, 747-779 (2016). MSC: 47A10 47A55 47A56 47B10 PDFBibTeX XMLCite \textit{A. Carey} et al., J. Spectr. Theory 6, No. 4, 747--779 (2016; Zbl 06694723) Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor On the index of a non-Fredholm model operator. (English) Zbl 1356.47018 Oper. Matrices 10, No. 4, 881-914 (2016). MSC: 47A53 58J30 47A10 47A40 PDFBibTeX XMLCite \textit{A. Carey} et al., Oper. Matrices 10, No. 4, 881--914 (2016; Zbl 1356.47018) Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy Trace formulas for a class of non-Fredholm operators: a review. (English) Zbl 1394.47023 Rev. Math. Phys. 28, No. 10, Article ID 1630002, 55 p. (2016). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47A53 58J30 47A10 47A40 PDFBibTeX XMLCite \textit{A. Carey} et al., Rev. Math. Phys. 28, No. 10, Article ID 1630002, 55 p. (2016; Zbl 1394.47023) Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. (English) Zbl 1384.47006 Math. Nachr. 289, No. 5-6, 575-609 (2016). Reviewer: Carlos R. Carpintero (Cumaná) MSC: 47A53 47A10 47A40 58J30 PDFBibTeX XMLCite \textit{A. Carey} et al., Math. Nachr. 289, No. 5--6, 575--609 (2016; Zbl 1384.47006) Full Text: DOI arXiv
Levitina, G.; Pietsch, A.; Sukochev, F. A.; Zanin, D. Completeness of quasi-normed operator ideals generated by \(s\)-numbers. (English) Zbl 1301.47099 Indag. Math., New Ser. 25, No. 1, 49-58 (2014). Reviewer: Joe Howard (Portales) MSC: 47L20 47B10 47B06 PDFBibTeX XMLCite \textit{G. Levitina} et al., Indag. Math., New Ser. 25, No. 1, 49--58 (2014; Zbl 1301.47099) Full Text: DOI
Ber, A. F.; Chilin, V. I.; Levitina, G. B.; Sukochev, F. A. Derivations on symmetric quasi-Banach ideals of compact operators. (English) Zbl 1283.47043 J. Math. Anal. Appl. 397, No. 2, 628-643 (2013). Reviewer: Hans-Olav Tylli (Helsinki) MSC: 47B47 47L20 PDFBibTeX XMLCite \textit{A. F. Ber} et al., J. Math. Anal. Appl. 397, No. 2, 628--643 (2013; Zbl 1283.47043) Full Text: DOI arXiv