Kukushkin, Maksim V. Theory of sectorial operators and its application in Fractional calculus. arXiv:2402.03331 Preprint, arXiv:2402.03331 [math.FA] (2024). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Theory of sectorial operators and its application in Fractional calculus'', Preprint, arXiv:2402.03331 [math.FA] (2024) Full Text: arXiv OA License
Chatzakou, Marianna; Kumar, Vishvesh \(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator. (English) Zbl 07823633 J. Fourier Anal. Appl. 29, No. 6, Paper No. 73, 26 p. (2023). MSC: 42B15 58J40 47B10 47G30 35P10 PDFBibTeX XMLCite \textit{M. Chatzakou} and \textit{V. Kumar}, J. Fourier Anal. Appl. 29, No. 6, Paper No. 73, 26 p. (2023; Zbl 07823633) Full Text: DOI arXiv
Levitina, Galina; Usachev, Alexandr Pietsch correspondence for symmetric functionals on Calkin operator spaces associated with semifinite von Neumann algebras. (English) Zbl 07734202 J. Oper. Theory 89, No. 2, 305-342 (2023). MSC: 46L51 47B10 58B34 58J42 PDFBibTeX XMLCite \textit{G. Levitina} and \textit{A. Usachev}, J. Oper. Theory 89, No. 2, 305--342 (2023; Zbl 07734202) Full Text: DOI arXiv
Ponge, Raphaël Connes’ integration and Weyl’s laws. (English) Zbl 07722571 J. Noncommut. Geom. 17, No. 2, 719-767 (2023). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 47B10 81Q10 47G30 58J40 PDFBibTeX XMLCite \textit{R. Ponge}, J. Noncommut. Geom. 17, No. 2, 719--767 (2023; Zbl 07722571) Full Text: DOI arXiv
McDonald, E.; Sukochev, F.; Xiong, X. Quantum differentiability – the analytical perspective. (Quantum differntiability – the analytical perspective.) (English) Zbl 07675035 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 257-280 (2023). MSC: 47B90 46L80 46L87 58B34 47B10 PDFBibTeX XMLCite \textit{E. McDonald} et al., Proc. Symp. Pure Math. 105, 257--280 (2023; Zbl 07675035) Full Text: DOI
Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. (English) Zbl 1523.47002 De Gruyter Studies in Mathematics 46, 2. Berlin: De Gruyter (ISBN 978-3-11-070000-8/hbk; 978-3-11-070017-6/ebook; 978-3-11-070318-4/set). xl, 471 p. (2023). Reviewer: Mixalis Anoussis (Samos) MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42 PDFBibTeX XMLCite \textit{S. Lord} et al., Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. Berlin: De Gruyter (2023; Zbl 1523.47002) Full Text: DOI
McDonald, Edward; Ponge, Raphaël Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori. (English) Zbl 1504.58006 Adv. Math. 412, Article ID 108815, 57 p. (2023). MSC: 58B34 47B10 81Q10 58J40 PDFBibTeX XMLCite \textit{E. McDonald} and \textit{R. Ponge}, Adv. Math. 412, Article ID 108815, 57 p. (2023; Zbl 1504.58006) Full Text: DOI arXiv
Kukushkin, Maksim V. Schatten index of the operator via the real component of its inverse. arXiv:2401.08650 Preprint, arXiv:2401.08650 [math.FA] (2023). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Schatten index of the operator via the real component of its inverse'', Preprint, arXiv:2401.08650 [math.FA] (2023) Full Text: arXiv OA License
Kukushkin, Maksim V. On the essential decreasing of the summation order in the Abel-Lidskii sense. arXiv:2306.13547 Preprint, arXiv:2306.13547 [math.FA] (2023). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``On the essential decreasing of the summation order in the Abel-Lidskii sense'', Preprint, arXiv:2306.13547 [math.FA] (2023) Full Text: arXiv OA License
Kukushkin, Maksim V. Schatten-von Neumann classes with more subtle asymptotics than one of the power type. arXiv:2303.11627 Preprint, arXiv:2303.11627 [math.FA] (2023). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Schatten-von Neumann classes with more subtle asymptotics than one of the power type'', Preprint, arXiv:2303.11627 [math.FA] (2023) Full Text: arXiv OA License
Kukushkin, Maksim Vladimirovich Note on the spectral theorem for unbounded non-selfadjoint operators. (English) Zbl 1516.47045 Vestn. KRAUNTS, Fiz.-Mat. Nauki 39, No. 2, 42-61 (2022). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 PDFBibTeX XMLCite \textit{M. V. Kukushkin}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 39, No. 2, 42--61 (2022; Zbl 1516.47045) Full Text: DOI MNR
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael Determinants and Plemelj-Smithies formulas. (English) Zbl 1504.47041 Monatsh. Math. 199, No. 3, 459-482 (2022). MSC: 47B10 35S05 58J40 22E30 PDFBibTeX XMLCite \textit{D. Cardona} et al., Monatsh. Math. 199, No. 3, 459--482 (2022; Zbl 1504.47041) Full Text: DOI arXiv
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
Xia, Jingbo Dixmier traces, Cesàro means and logarithms. (English) Zbl 07574445 Proc. Am. Math. Soc. 150, No. 8, 3477-3485 (2022). Reviewer: Duván Cardona (Ghent) MSC: 47B10 58B34 PDFBibTeX XMLCite \textit{J. Xia}, Proc. Am. Math. Soc. 150, No. 8, 3477--3485 (2022; Zbl 07574445) Full Text: DOI
Delgado, Julio A Poincaré determinant on the torus. (English) Zbl 07535450 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022). MSC: 47B10 35S05 58J40 22E30 PDFBibTeX XMLCite \textit{J. Delgado}, J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022; Zbl 07535450) Full Text: DOI arXiv
Chatzakou, Marianna; Kumar, Vishvesh \(L^p\)-\(L^q\) boundedness of spectral multipliers of the anharmonic oscillator. (\(L^p\)-\(L^q\) continuité des multiplicateurs spectraux de l’oscillateur anharmonique.) (English. French summary) Zbl 1487.42023 C. R., Math., Acad. Sci. Paris 360, 343-347 (2022). MSC: 42B15 58J40 47B10 47G30 35P10 PDFBibTeX XMLCite \textit{M. Chatzakou} and \textit{V. Kumar}, C. R., Math., Acad. Sci. Paris 360, 343--347 (2022; Zbl 1487.42023) Full Text: DOI arXiv
Hartmann, Luiz; Lesch, Matthias Zeta and Fredholm determinants of self-adjoint operators. (English) Zbl 1486.58020 J. Funct. Anal. 283, No. 1, Article ID 109491, 27 p. (2022). MSC: 58J52 47B10 PDFBibTeX XMLCite \textit{L. Hartmann} and \textit{M. Lesch}, J. Funct. Anal. 283, No. 1, Article ID 109491, 27 p. (2022; Zbl 1486.58020) Full Text: DOI arXiv
Kukushkin, Maksim V. Cauchy Problem for an abstract Evolution Equation of fractional order. arXiv:2212.10227 Preprint, arXiv:2212.10227 [math.FA] (2022). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Cauchy Problem for an abstract Evolution Equation of fractional order'', Preprint, arXiv:2212.10227 [math.FA] (2022) Full Text: arXiv OA License
Kukushkin, Maksim V. Abstract evolution equations with an operator function in the second term. arXiv:2207.04392 Preprint, arXiv:2207.04392 [math.FA] (2022). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Abstract evolution equations with an operator function in the second term'', Preprint, arXiv:2207.04392 [math.FA] (2022) Full Text: arXiv OA License
Cardona, Duván; Kumar, Vishvesh The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory. (English) Zbl 1523.42014 Math. Nachr. 294, No. 9, 1657-1683 (2021). MSC: 42B15 58J40 47B10 47G30 PDFBibTeX XMLCite \textit{D. Cardona} and \textit{V. Kumar}, Math. Nachr. 294, No. 9, 1657--1683 (2021; Zbl 1523.42014) Full Text: DOI arXiv
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. (English) Zbl 1495.47001 De Gruyter Studies in Mathematics 46, 1. Berlin: De Gruyter (ISBN 978-3-11-037779-8/hbk; 978-3-11-037805-4/ebook; 978-3-11-070318-4/set). xxix, 383 p. (2021). Reviewer: Mixalis Anoussis (Samos) MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42 PDFBibTeX XMLCite \textit{S. Lord} et al., Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. Berlin: De Gruyter (2021; Zbl 1495.47001) Full Text: DOI
Andruchow, Esteban; Di Iorio y Lucero, María Eugenia \(p\)-Schatten commutators of projections. (English) Zbl 1521.47039 Ann. Funct. Anal. 12, No. 2, Paper No. 29, 20 p. (2021). MSC: 47B10 47A05 47A53 46H35 58B05 PDFBibTeX XMLCite \textit{E. Andruchow} and \textit{M. E. Di Iorio y Lucero}, Ann. Funct. Anal. 12, No. 2, Paper No. 29, 20 p. (2021; Zbl 1521.47039) Full Text: DOI arXiv
Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen Non-compact quantum graphs with summable matrix potentials. (English) Zbl 1457.81043 Ann. Henri Poincaré 22, No. 1, 1-47 (2021). MSC: 81Q10 35Pxx 58J50 46C05 47B06 47B10 47B15 47B25 PDFBibTeX XMLCite \textit{Y. Granovskyi} et al., Ann. Henri Poincaré 22, No. 1, 1--47 (2021; Zbl 1457.81043) Full Text: DOI arXiv
Kukushkin, Maksim V. Natural lacunae method and Schatten-von Neumann classes of the convergence exponent. arXiv:2112.10396 Preprint, arXiv:2112.10396 [math.FA] (2021). MSC: 47B28 47A10 47B12 47B10 34K30 58D25 BibTeX Cite \textit{M. V. Kukushkin}, ``Natural lacunae method and Schatten-von Neumann classes of the convergence exponent'', Preprint, arXiv:2112.10396 [math.FA] (2021) Full Text: arXiv OA License
Miglioli, Martin On Schatten restricted norms. (English) Zbl 1467.46012 Proc. Am. Math. Soc. 148, No. 12, 5249-5259 (2020). MSC: 46B04 47B10 58B20 22F50 PDFBibTeX XMLCite \textit{M. Miglioli}, Proc. Am. Math. Soc. 148, No. 12, 5249--5259 (2020; Zbl 1467.46012) Full Text: DOI arXiv Link
De Nittis, Giuseppe; Gomi, Kyonori; Moscolari, Massimo The geometry of (non-abelian) Landau levels. (English) Zbl 1440.81074 J. Geom. Phys. 152, Article ID 103649, 34 p. (2020). MSC: 81V70 81Q05 81V10 81T13 82D37 46L60 58J42 57R22 14D21 47B10 55N25 11R52 PDFBibTeX XMLCite \textit{G. De Nittis} et al., J. Geom. Phys. 152, Article ID 103649, 34 p. (2020; Zbl 1440.81074) Full Text: DOI arXiv
Großmann, Julian; Schulz-Baldes, Hermann; Villegas-Blas, Carlos Erratum to “Oscillation theory for the density of states of high dimensional random operators”. (English) Zbl 1457.81034 Int. Math. Res. Not. 2019, No. 15, 4898 (2019). MSC: 81Q05 34B24 81R20 47B36 58J30 46L10 47B10 58J22 82B30 PDFBibTeX XMLCite \textit{J. Großmann} et al., Int. Math. Res. Not. 2019, No. 15, 4898 (2019; Zbl 1457.81034) Full Text: DOI
Großmann, Julian; Schulz-Baldes, Hermann; Villegas-Blas, Carlos Oscillation theory for the density of states of high dimensional random operators. (English) Zbl 1459.81039 Int. Math. Res. Not. 2019, No. 15, 4579-4602 (2019); erratum ibid. 2019, No. 15, 4898 (2019). MSC: 81Q05 34B24 81R20 47B36 58J30 46L10 47B10 58J22 82B30 PDFBibTeX XMLCite \textit{J. Großmann} et al., Int. Math. Res. Not. 2019, No. 15, 4579--4602 (2019; Zbl 1459.81039) Full Text: DOI arXiv
Cardona, Duván On the nuclear trace of Fourier integral operators. (English) Zbl 1454.58023 Rev. Integr. 37, No. 2, 219-249 (2019). Reviewer: Luigi Rodino (Torino) MSC: 58J40 47B10 47G30 35S30 PDFBibTeX XMLCite \textit{D. Cardona}, Rev. Integr. 37, No. 2, 219--249 (2019; Zbl 1454.58023)
Larotonda, Gabriel Short geodesics for Ad invariant metrics in locally exponential Lie groups. (English) Zbl 1436.22015 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 153-160 (2019). MSC: 22E65 58B20 53C22 47B10 58D05 PDFBibTeX XMLCite \textit{G. Larotonda}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 153--160 (2019; Zbl 1436.22015) Full Text: DOI
Larotonda, Gabriel Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces. (English) Zbl 1430.22026 Forum Math. 31, No. 6, 1567-1605 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 22E65 58B20 53C22 47B10 58D05 PDFBibTeX XMLCite \textit{G. Larotonda}, Forum Math. 31, No. 6, 1567--1605 (2019; Zbl 1430.22026) Full Text: DOI arXiv Link
Cardona, Duván; Kumar, Vishvesh \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\). (English) Zbl 1429.58036 J. Fourier Anal. Appl. 25, No. 6, 2973-3017 (2019). MSC: 58J40 47B10 47G30 35S30 PDFBibTeX XMLCite \textit{D. Cardona} and \textit{V. Kumar}, J. Fourier Anal. Appl. 25, No. 6, 2973--3017 (2019; Zbl 1429.58036) Full Text: DOI arXiv
Andruchow, Esteban; Chiumiento, Eduardo; Larotonda, Gabriel Canonical sphere bundles of the Grassmann manifold. (English) Zbl 1432.22023 Geom. Dedicata 203, 179-203 (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22E65 47B10 58B20 PDFBibTeX XMLCite \textit{E. Andruchow} et al., Geom. Dedicata 203, 179--203 (2019; Zbl 1432.22023) Full Text: DOI arXiv
Pfirsch, Bernhard A Szegő limit theorem for translation-invariant operators on polygons. (English) Zbl 1502.47040 Math. Nachr. 292, No. 7, 1567-1594 (2019). MSC: 47B35 47B10 58J50 PDFBibTeX XMLCite \textit{B. Pfirsch}, Math. Nachr. 292, No. 7, 1567--1594 (2019; Zbl 1502.47040) Full Text: DOI arXiv Link
Cardona, Duván; Kumar, Vishvesh Multilinear analysis for discrete and periodic pseudo-differential operators in \(L^p\)-spaces. (English) Zbl 1426.58007 Rev. Integr. 36, No. 2, 151-164 (2018). MSC: 58J40 47B10 47G30 35S30 PDFBibTeX XMLCite \textit{D. Cardona} and \textit{V. Kumar}, Rev. Integr. 36, No. 2, 151--164 (2018; Zbl 1426.58007) Full Text: DOI
Beltiţă, Daniel; Goliński, Tomasz; Tumpach, Alice-Barbara Queer Poisson brackets. (English) Zbl 1398.53086 J. Geom. Phys. 132, 358-362 (2018). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 58B99 46T05 47B10 PDFBibTeX XMLCite \textit{D. Beltiţă} et al., J. Geom. Phys. 132, 358--362 (2018; Zbl 1398.53086) Full Text: DOI arXiv
Peate, Joshua Riesz transforms in the absence of a preservation condition, with applications to the Dirichlet Laplacian. (English) Zbl 1470.42022 J. Math. Anal. Appl. 460, No. 1, 425-457 (2018). MSC: 42B20 42C20 35K08 47B10 58J40 PDFBibTeX XMLCite \textit{J. Peate}, J. Math. Anal. Appl. 460, No. 1, 425--457 (2018; Zbl 1470.42022) Full Text: DOI
Delgado, Julio; Ruzhansky, Michael; Tokmagambetov, Niyaz Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary. (English. French summary) Zbl 1366.58009 J. Math. Pures Appl. (9) 107, No. 6, 758-783 (2017). MSC: 58J40 47B10 58J32 42B05 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Math. Pures Appl. (9) 107, No. 6, 758--783 (2017; Zbl 1366.58009) Full Text: DOI arXiv
Sukochev, F. Hölder inequality for symmetric operator spaces and trace property of K-cycles. (English) Zbl 1380.47008 Bull. Lond. Math. Soc. 48, No. 4, 637-647 (2016). Reviewer: Ami Viselter (Haifa) MSC: 47A30 47B10 58B34 47A63 46L07 46L51 PDFBibTeX XMLCite \textit{F. Sukochev}, Bull. Lond. Math. Soc. 48, No. 4, 637--647 (2016; Zbl 1380.47008) Full Text: DOI
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
Guichardet, Alain The Dixmier trace and other traces. (La trace de Dixmier et autres traces.) (French. English summary) Zbl 1358.46062 Enseign. Math. (2) 61, No. 3-4, 461-481 (2015). Reviewer: Dirk Werner (Berlin) MSC: 46L51 58B34 46-03 47B10 PDFBibTeX XMLCite \textit{A. Guichardet}, Enseign. Math. (2) 61, No. 3--4, 461--481 (2015; Zbl 1358.46062) 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
Pietsch, Albrecht Traces and residues of pseudo-differential operators on the torus. (English) Zbl 1369.58019 Integral Equations Oper. Theory 83, No. 1, 1-23 (2015). MSC: 58J40 47B10 35S05 46B45 PDFBibTeX XMLCite \textit{A. Pietsch}, Integral Equations Oper. Theory 83, No. 1, 1--23 (2015; Zbl 1369.58019) Full Text: DOI
Devi, Yendrembam Chaoba; Prajapat, Shivraj; Mukhopadhyay, Aritra K.; Chakraborty, Biswajit; Scholtz, Frederik G. Connes distance function on fuzzy sphere and the connection between geometry and statistics. (English) Zbl 1332.81099 J. Math. Phys. 56, No. 4, 041707, 25 p. (2015). Reviewer: Zain Shaikh (Paderborn) MSC: 81R60 58B34 46H05 46C99 47B10 PDFBibTeX XMLCite \textit{Y. C. Devi} et al., J. Math. Phys. 56, No. 4, 041707, 25 p. (2015; Zbl 1332.81099) Full Text: DOI arXiv
Glazebrook, James F. Wiener-Hopf type operators and their generalized determinants. (English) Zbl 1337.47041 Cepedello Boiso, Manuel (ed.) et al., Concrete operators, spectral theory, operators in harmonic analysis and approximation. 22nd international workshop in operator theory and its applications, IWOTA 11, Sevilla, Spain, July 3–9, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0647-3/hbk; 978-3-0348-0648-0/ebook). Operator Theory: Advances and Applications 236, 205-230 (2014). MSC: 47B35 47A05 47B10 53B10 58B99 58B25 PDFBibTeX XMLCite \textit{J. F. Glazebrook}, Oper. Theory: Adv. Appl. 236, 205--230 (2014; Zbl 1337.47041) Full Text: DOI
Andruchow, Esteban Pairs of projections: geodesics, Fredholm and compact pairs. (English) Zbl 1321.47025 Complex Anal. Oper. Theory 8, No. 7, 1435-1453 (2014). Reviewer: Eduardo Chiumiento (La Plata) MSC: 47A53 57N20 47B10 58B15 53C22 PDFBibTeX XMLCite \textit{E. Andruchow}, Complex Anal. Oper. Theory 8, No. 7, 1435--1453 (2014; Zbl 1321.47025) Full Text: DOI
Delgado, Julio; Ruzhansky, Michael Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds. (Critères portant sur des symboles et noyaux pour les classes de Schatten et \(r\)-nucléarité sur les variétés compactes.) (English. Abridged French version) Zbl 1315.47021 C. R., Math., Acad. Sci. Paris 352, No. 10, 779-784 (2014). Reviewer: Claude Zuily (Orsay) MSC: 47B10 58J40 47G30 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{M. Ruzhansky}, C. R., Math., Acad. Sci. Paris 352, No. 10, 779--784 (2014; Zbl 1315.47021) Full Text: DOI arXiv
Delgado, Julio; Ruzhansky, Michael Schatten classes on compact manifolds: kernel conditions. (English) Zbl 1292.47030 J. Funct. Anal. 267, No. 3, 772-798 (2014). MSC: 47G10 58J40 47B10 22E30 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{M. Ruzhansky}, J. Funct. Anal. 267, No. 3, 772--798 (2014; Zbl 1292.47030) Full Text: DOI arXiv
Paycha, Sylvie Book review of: Steven Lord, Fedor Sukochev, Dmitriy Zanin: Singular traces, theory and applications. (English) Zbl 1291.00030 Jahresber. Dtsch. Math.-Ver. 116, No. 1, 129-134 (2014). MSC: 00A17 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42 PDFBibTeX XMLCite \textit{S. Paycha}, Jahresber. Dtsch. Math.-Ver. 116, No. 1, 129--134 (2014; Zbl 1291.00030) Full Text: DOI
Andruchow, E.; Chiumiento, E.; Di Iorio y Lucero, M. E. The compatible Grassmannian. (English) Zbl 1283.58009 Differ. Geom. Appl. 32, 1-27 (2014). MSC: 58B10 58B20 47B10 PDFBibTeX XMLCite \textit{E. Andruchow} et al., Differ. Geom. Appl. 32, 1--27 (2014; Zbl 1283.58009) Full Text: DOI arXiv
Lawson, Jimmie; Lim, Yongdo The least squares mean of positive Hilbert-Schmidt operators. (English) Zbl 1301.47021 J. Math. Anal. Appl. 403, No. 2, 365-375 (2013). Reviewer: Jean-Pierre Magnot (Clermont-Ferrand) MSC: 47A62 47A64 47B65 47B10 58B20 PDFBibTeX XMLCite \textit{J. Lawson} and \textit{Y. Lim}, J. Math. Anal. Appl. 403, No. 2, 365--375 (2013; Zbl 1301.47021) Full Text: DOI
Chiumiento, Eduardo; Di Iorio y Lucero, María E. Geometry of unitary orbits of pinching operators. (English) Zbl 1279.58001 J. Math. Anal. Appl. 402, No. 1, 103-118 (2013). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58B25 47B10 47L20 PDFBibTeX XMLCite \textit{E. Chiumiento} and \textit{M. E. Di Iorio y Lucero}, J. Math. Anal. Appl. 402, No. 1, 103--118 (2013; Zbl 1279.58001) Full Text: DOI arXiv
Di Iorio y Lucero, Maria Eugenia Geometry of the left action of the \(p\)-Schatten groups. (English) Zbl 1279.47035 Banach J. Math. Anal. 7, No. 1, 73-87 (2013). Reviewer: Sergey Ludkovsky (Moskva) MSC: 47B10 46T05 58B20 PDFBibTeX XMLCite \textit{M. E. Di Iorio y Lucero}, Banach J. Math. Anal. 7, No. 1, 73--87 (2013; Zbl 1279.47035) Full Text: DOI Euclid
Kalton, Nigel; Lord, Steven; Potapov, Denis; Sukochev, Fedor Traces of compact operators and the noncommutative residue. (English) Zbl 1272.46056 Adv. Math. 235, 1-55 (2013). Reviewer: Igor V. Nikolaev (Southbridge) MSC: 46L87 47B10 58B34 58J42 47G10 PDFBibTeX XMLCite \textit{N. Kalton} et al., Adv. Math. 235, 1--55 (2013; Zbl 1272.46056) Full Text: DOI arXiv
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy Singular traces. Theory and applications. (English) Zbl 1275.47002 de Gruyter Studies in Mathematics 46. Berlin: de Gruyter (ISBN 978-3-11-026250-6/hbk; 978-3-11-026255-1/ebook). xvi, 452 p. (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42 PDFBibTeX XMLCite \textit{S. Lord} et al., Singular traces. Theory and applications. Berlin: de Gruyter (2013; Zbl 1275.47002)
Kaad, J. Comparison of secondary invariants of algebraic \(K\)-theory. (English) Zbl 1241.19001 J. \(K\)-Theory 8, No. 1, 169-182 (2011). Reviewer: Takahiro Sudo (Nishihara) MSC: 19C99 46L80 47B10 58B34 58B15 PDFBibTeX XMLCite \textit{J. Kaad}, J. \(K\)-Theory 8, No. 1, 169--182 (2011; Zbl 1241.19001) Full Text: DOI arXiv
Beltiţă, Daniel Functional analytic background for a theory of infinite-dimensional reductive Lie groups. (English) Zbl 1217.22017 Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 367-392 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E46 47B10 47L20 58B25 PDFBibTeX XMLCite \textit{D. Beltiţă}, Prog. Math. 288, 367--392 (2011; Zbl 1217.22017) Full Text: DOI arXiv
Lord, Steven; Sukochev, Fedor A. Noncommutative residues and a characterisation of the noncommutative integral. (English) Zbl 1218.58019 Proc. Am. Math. Soc. 139, No. 1, 243-257 (2011). Reviewer: Adam Skalski (Warszawa) MSC: 58J42 46L51 47B10 58B34 58J51 PDFBibTeX XMLCite \textit{S. Lord} and \textit{F. A. Sukochev}, Proc. Am. Math. Soc. 139, No. 1, 243--257 (2011; Zbl 1218.58019) Full Text: DOI arXiv
Lord, Steven; Sukochev, Fedor Measure theory in noncommutative spaces. (English) Zbl 1227.46042 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 072, 36 p. (2010). Reviewer: Adam Skalski (Warszawa) MSC: 46L51 47B10 58B34 58J42 46-02 PDFBibTeX XMLCite \textit{S. Lord} and \textit{F. Sukochev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 072, 36 p. (2010; Zbl 1227.46042) Full Text: DOI arXiv EuDML
Chiumiento, Eduardo Metric geometry in infinite dimensional Stiefel manifolds. (English) Zbl 1198.22012 Differ. Geom. Appl. 28, No. 4, 469-479 (2010). Reviewer: Mihai Anastasiei (Iaşi) MSC: 22E65 47B10 58B20 PDFBibTeX XMLCite \textit{E. Chiumiento}, Differ. Geom. Appl. 28, No. 4, 469--479 (2010; Zbl 1198.22012) Full Text: DOI Link
Conde, Cristian; Larotonda, Gabriel Manifolds of semi-negative curvature. (English) Zbl 1226.22023 Proc. Lond. Math. Soc. (3) 100, No. 3, 670-704 (2010). MSC: 22E65 53C45 47B10 53C40 58B20 PDFBibTeX XMLCite \textit{C. Conde} and \textit{G. Larotonda}, Proc. Lond. Math. Soc. (3) 100, No. 3, 670--704 (2010; Zbl 1226.22023) Full Text: DOI arXiv Link
Chiumiento, Eduardo Geometry of \({\mathfrak I}\)-Stiefel manifolds. (English) Zbl 1206.22012 Proc. Am. Math. Soc. 138, No. 1, 341-353 (2010). Reviewer: Ivailo Mladenov (Sofia) MSC: 22E65 47B10 58B20 47L20 PDFBibTeX XMLCite \textit{E. Chiumiento}, Proc. Am. Math. Soc. 138, No. 1, 341--353 (2010; Zbl 1206.22012) Full Text: DOI
Beltiţă, Daniel Iwasawa decompositions of some infinite-dimensional Lie groups. (English) Zbl 1182.22012 Trans. Am. Math. Soc. 361, No. 12, 6613-6644 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E46 47B10 47L20 58B25 PDFBibTeX XMLCite \textit{D. Beltiţă}, Trans. Am. Math. Soc. 361, No. 12, 6613--6644 (2009; Zbl 1182.22012) Full Text: DOI arXiv
Conde, Cristian Nonpositive curvature in \(p\)-Schatten class. (English) Zbl 1170.58001 J. Math. Anal. Appl. 356, No. 2, 664-673 (2009). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 58B20 47B10 47L07 53C10 PDFBibTeX XMLCite \textit{C. Conde}, J. Math. Anal. Appl. 356, No. 2, 664--673 (2009; Zbl 1170.58001) Full Text: DOI
Conde, Cristian Geometric interpolation in symmetrically-normed ideals. (English) Zbl 1140.47009 Linear Algebra Appl. 429, No. 4, 819-834 (2008). Reviewer: Aleksej Turnšek (Ljubljana) MSC: 47B10 46B70 05E05 58B20 PDFBibTeX XMLCite \textit{C. Conde}, Linear Algebra Appl. 429, No. 4, 819--834 (2008; Zbl 1140.47009) Full Text: DOI Link
Conde, Cristian Geometric interpolation in \(p\)-Schatten class. (English) Zbl 1161.47012 J. Math. Anal. Appl. 340, No. 2, 920-931 (2008). Reviewer: Hartmut Fuehr (Aachen) MSC: 47B10 46B70 58B20 PDFBibTeX XMLCite \textit{C. Conde}, J. Math. Anal. Appl. 340, No. 2, 920--931 (2008; Zbl 1161.47012) Full Text: DOI
Andruchow, Esteban; Varela, Alejandro Non positively curved metric in the space of positive definite infinite matrices. (English) Zbl 1157.58300 Rev. Unión Mat. Argent. 48, No. 1, 7-15 (2007). MSC: 58B20 47B10 47B15 PDFBibTeX XMLCite \textit{E. Andruchow} and \textit{A. Varela}, Rev. Unión Mat. Argent. 48, No. 1, 7--15 (2007; Zbl 1157.58300)
Wahl, Charlotte Spectral flow as winding number and integral formulas. (English) Zbl 1133.58016 Proc. Am. Math. Soc. 135, No. 12, 4063-4073 (2007). Reviewer: Agostino Prástaro (Roma) MSC: 58J30 47B10 PDFBibTeX XMLCite \textit{C. Wahl}, Proc. Am. Math. Soc. 135, No. 12, 4063--4073 (2007; Zbl 1133.58016) Full Text: DOI arXiv
Azamov, Nurulla A.; Sukochev, Fyodor A. A Lidskii type formula for Dixmier traces. (English. Abridged French version) Zbl 1061.47020 C. R., Math., Acad. Sci. Paris 340, No. 2, 107-112 (2005). Reviewer: Leszek Skrzypczak (Poznań) MSC: 47B10 47B15 47G30 58J40 PDFBibTeX XMLCite \textit{N. A. Azamov} and \textit{F. A. Sukochev}, C. R., Math., Acad. Sci. Paris 340, No. 2, 107--112 (2005; Zbl 1061.47020) Full Text: DOI
Uglanov, A. V. On measures in locally convex spaces. (English) Zbl 1057.46039 Hoffmann-Jørgensen, Jørgen (ed.) et al., High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Basel: Birkhäuser (ISBN 3-7643-2187-3/hbk). Prog. Probab. 55, 43-54 (2003). Reviewer: Surjit Singh Khurana (Iowa City) MSC: 46G10 58C35 PDFBibTeX XMLCite \textit{A. V. Uglanov}, Prog. Probab. 55, 43--54 (2003; Zbl 1057.46039)
Guido, Daniele; Isola, Tommaso On the domain of singular traces. (English) Zbl 1057.46057 Int. J. Math. 13, No. 6, 667-674 (2002). MSC: 46L85 47B10 58J42 PDFBibTeX XMLCite \textit{D. Guido} and \textit{T. Isola}, Int. J. Math. 13, No. 6, 667--674 (2002; Zbl 1057.46057) Full Text: DOI arXiv
Alcántara-Bode, Julio An algorithm for the evaluation of certain Fredholm determinants. (English) Zbl 0979.47003 Integral Equations Oper. Theory 39, No. 2, 153-158 (2001). MSC: 47A10 47B10 47A75 58C40 PDFBibTeX XMLCite \textit{J. Alcántara-Bode}, Integral Equations Oper. Theory 39, No. 2, 153--158 (2001; Zbl 0979.47003) Full Text: DOI
Spera, Mauro; Wurzbacher, Tilmann Differential geometry of Grassmannian embeddings of based loop groups. (English) Zbl 0967.58005 Differ. Geom. Appl. 13, No. 1, 43-75 (2000). Reviewer: M.Anastasiei (Iaşi) MSC: 58B20 53C40 22E65 47B10 53C35 14M15 22E67 PDFBibTeX XMLCite \textit{M. Spera} and \textit{T. Wurzbacher}, Differ. Geom. Appl. 13, No. 1, 43--75 (2000; Zbl 0967.58005) Full Text: DOI
Nest, Ryszard; Schrohe, Elmar Dixmier’s trace for boundary value problems. (English) Zbl 0914.35158 Manuscr. Math. 96, No. 2, 203-218 (1998). Reviewer: M.Derridj (Rouen) MSC: 35S15 58J32 47B10 PDFBibTeX XMLCite \textit{R. Nest} and \textit{E. Schrohe}, Manuscr. Math. 96, No. 2, 203--218 (1998; Zbl 0914.35158) Full Text: DOI
Brüning, Jochen; Seeley, Robert The resolvent expansion for second order regular singular operators. (English) Zbl 0625.47040 J. Funct. Anal. 73, 369-429 (1987). MSC: 47F05 47A10 35P20 35J25 35R20 58J20 47B10 PDFBibTeX XMLCite \textit{J. Brüning} and \textit{R. Seeley}, J. Funct. Anal. 73, 369--429 (1987; Zbl 0625.47040) Full Text: DOI
Kaup, Wilhelm Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. II. (German) Zbl 0482.32011 Math. Ann. 262, 57-75 (1983). MSC: 32M15 47B10 58B20 32K05 46C99 PDFBibTeX XMLCite \textit{W. Kaup}, Math. Ann. 262, 57--75 (1983; Zbl 0482.32011) Full Text: DOI EuDML
Schwarz, A. S. The partition function of a degenerate functional. (English) Zbl 0429.58015 Commun. Math. Phys. 67, 1-16 (1979). MSC: 58J10 58J90 81T05 53C99 47A10 47B10 47B25 PDFBibTeX XMLCite \textit{A. S. Schwarz}, Commun. Math. Phys. 67, 1--16 (1979; Zbl 0429.58015) Full Text: DOI EuDML
Abatzoglou, Theagenis J. Norm derivatives on spaces of operators. (English) Zbl 0398.47013 Math. Ann. 239, 129-135 (1979). MSC: 47B10 58C20 PDFBibTeX XMLCite \textit{T. J. Abatzoglou}, Math. Ann. 239, 129--135 (1979; Zbl 0398.47013) Full Text: DOI EuDML
Helton, J. William; Howe, Roger E. Traces of commutators of integral operators. (English) Zbl 0332.47010 Acta Math. 135, 271-305 (1975). MSC: 47B10 47Gxx 47C05 47B35 58A15 47B47 58J20 PDFBibTeX XMLCite \textit{J. W. Helton} and \textit{R. E. Howe}, Acta Math. 135, 271--305 (1975; Zbl 0332.47010) Full Text: DOI
Gramsch, Bernhard Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern. (German) Zbl 0326.47031 Math. Ann. 214, 96-147 (1975). MSC: 47A53 32A20 46A19 32E10 47B10 47H99 58C10 46E40 46H25 46J15 47L10 46M05 47A55 PDFBibTeX XMLCite \textit{B. Gramsch}, Math. Ann. 214, 96--147 (1975; Zbl 0326.47031) Full Text: DOI EuDML
Pflaumann, Erika; Unger, Heinz Funktionalanalysis II. (German) Zbl 0293.46002 Mannheim-Wien-Zürich: Bibliographisches Institut, B.I.- Wissenschaftsverlag. 338 S. DM 24.00 (1974). MSC: 46-02 46Exx 46G05 46Hxx 46Jxx 47A05 47-02 58C20 54E15 47B15 47B06 47A10 46A30 47B10 47A20 PDFBibTeX XML