Jinghao Huang (黄景灏)
Email: jinghao.huang@hit.edu.cn
Research
I am primarily interested in symmetric operator spaces.
Employment
Research associate, UNSW, Sydney, 08/2019--11/2022
Professor, Institute for Advanced Study in Mathematics of HIT, Harbin, 11/2022--
Education
PH.D in Mathematics, University of New South Wales, Sydney, 01/2016-07/2019. Thesis: Derivations with values into ideals of a semifinite von Neumann algebra
Advisors: Fedor Sukochev, Dmitriy Zanin Co-advisor: Galina Levitina
M.S. in Mathematics, Sun Yat-sen University, Guangzhou, 08/2013- 07/2015.
B.S. in Mathematics, Sun Yat-sen University, Guangzhou, 09/2009-07/2013.
Selected Papers
Norms of generalized derivations with values in symmetric spaces, with Marat Pliev, Fedor Sukochev and Ran Xu, Advances in Mathematics, (2026), Article ID 110964.
Bounded sequences in noncommutative bimodules of $\tau$-measurable operators, with Fedor Sukochev, Proceedings of the American Mathematical Society, 154 (2026), no. 2, 793–806.
Lack of isomorphic embeddings of $\ell_{p,q}$ into $L_{p,q}(\mathcal{M},\tau)$ over a noncommutative probability space，Advances in Mathematics, 482 Part A (2025), Article ID 110571.
Compactness criteria in quasi-Banach symmetric operator spaces associated with a non-commutative torus, with Yerlan Nessipbayev, Fedor Sukochev and Dmitriy Zanin, Journal of Functional Analysis, 289 (2025), no. 5, Paper No. 110946, 35 pp.
Embedding of symmetric operator spaces into $L_p$-spaces, $1\le p<2$, on finite von Neumann algebras, with Marius Junge, Fedor Sukochev and Dmitriy Zanin, Israel Journal of Mathematics, 268 (2025), no. 1, 73–116.
The ball-covering property of noncommutative symmetric spaces, with Karimbergen Kudaybergenov and Rui Liu, Studia Mathematica, 277(2) (2024), 169--190.
Linear Isometries of Noncommutative L0-spaces, with Aleksey Ber and Fedor Sukochev, Bulletin of the London Mathematical Society, 56 (2024), 2075--2092.
Gelfand--Phillips and Dunford--Pettis type properties in bimodules of measurable operators, with Yerlan Nessipbayev, Marat Pliev and Fedor Sukochev, Transactions of the American Mathematical Society, 377 (9) (2024), Pages 6097--6149.
Hermitian operators and isometries on symmetric operator spaces, with Fedor Sukochev, Journal of the European Mathematical Society, 26(9), (2024), 3287--3325.
Schur inequality for Murray--von Neumann algebras and its applications, with Shavkat Ayupov, Karimbergen Kudaybergenov, Ann. Funct. Anal. 15 (2024), no. 3, Paper No. 47, 24 pp.
Derivations with values into bimodules of τ-measurable operators, with Fedor Sukochev, Proc. Sympos. Pure Math., 106 American Mathematical Society, Providence, RI, 2024, 167–188.
Derivations with values in noncommutative symmetric spaces, with Fedor Sukochev, Comptes Rendus. Mathématique, 361 (2023), pp. 1357--1365.
(Strong-)Dunford--Pettis operators and Narrow operators, with Marat Pliev, Fedor Sukochev, Integral Equations and Operator Theory, (2023) 95:22.
Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra, with Aleksey Ber, Fedor Sukochev, Journal of Functional Analysis, 285 (2023), Article ID 110072.
Ring derivations of Murray--von Neumann algebras Linear Algebra and Its Applications, with Karimbergen Kudaybergenov and Fedor Sukochev, Linear Algebra and Its Applications, 672 (2023), 28--52.
Lateral order on complex vector lattices and narrow operators, with Nonna Dzhusoeva, Marat Pliev and Fedor Sukochev, Mathematische Nachrichten, 296 (2023), no. 11, 5157–5170.
Optimal range of Haar martingale transforms and its applications, with Sergey Astashkin, Marat Pliev, Fedor Sukochev and Dmitriy Zanin, International Mathematics Research Notices, Volume 2023, Issue 24, December 2023, 20827--20854.
A noncommutative Gretsky--Ostroy Theorem and application, with Marat Pliev and Fedor Sukochev, Proceedings of the American Mathematical Society, 151(3) (2023), 1147--1155.
On narrow operators from L_p into operator ideals, with Marat Pliev, Fedor Sukochev, Mediterranean Journal of Mathematics, (2022) 19:208.
Optimal estimates of Martingale transforms, with Fedor Sukochev and Dmitriy Zanin, Journal of Functional Analysis, 282 (2022), no. 11, Paper No. 109451, 42 pp.
(non-)Dunford--Pettis operators on noncommutative symmetric spaces, with Marat Pliev and Fedor Sukochev, Journal of Functional Analysis, 282 (2022), no. 11, Paper No. 109443, 29 pp.
l2-strictly singular operators on the predual of a hyperfinite von Neumann algebra, with Marat Pliev, Fedor Sukochev, Proceedings of the American Mathematical Society, 150 (2022), pp. 1623--1633.
Isometries on symmetric operator spaces, with Fedor Sukochev, Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), (in Russian). Translated in Doklady Mathematics. 2021, Vol. 103, No. 1, pp. 54--56.
Isomorphic classification of $L_{p,q}$, II, with Fedor Sukochev, Journal of Functional Analysis, 280 (12) (2021), 108994.
Lack of isomorphic embeddings of symmetric function spaces into operator ideals, with Sergei Astashkin and Fedor Sukochev, Journal of Functional Analysis, 280 (5) (2021), 108895.
On Arazy's problem concerning isomorphic embeddings of ideals of compact operators, with Olga Sadovskaya and Fedor Sukochev, Advances in Mathematics, 108530.
Alberti--Uhlmann problem on Hardy--Littlewood--Polya majorization, with Fedor Sukochev, Communications in Mathematical Physics, 387(1) (2021), 139--178.
Non-existence of translation-invariant derivations on algebras of measurable functions, with Aleksey Ber, Karimbergen Kudaybergenov, Fedor Sukochev, Quaestiones Mathematicae, 46 (2023), no. 5, 909–926.
Operator θ-Hölder functions (a survey), with Fedor Sukochev, Banach Journal of Mathematical Analysis, 14(3) (2020), 607–629.
Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, with Dauitbek and Sukochev, Advances in Mathematics, 365 (2020), 107050.
Operator θ-Hölder functions with respect to $\left\|\cdot\right\|_p $, with Fedor Sukochev, Dmitriy Zanin, Journal of the London Mathematical Society, 105(4) (2022), 2436-2477.
Logarithmic submajorization and order-preserving linear isometries, with Fedor Sukochev, Dmitriy Zanin, Journal of Functional Analysis, 278 (4) (2020), 108352.
Derivations with values in the ideal of τ-compact operators affiliated with a semifinite von Neumann algebra, with Aleksei Ber, Galina Levitina, Fedor Sukochev, Communications in Mathematical Physics, 390 (2022), 577–616.
M-embedded symmetric operator spaces and the derivation problem, with Galina Levitina, Fedor Sukochev, Mathematical Proceedings of the Cambridge Philosophical Society, 169 (2020), 607-622.
Interpolation between L_0(M; τ) and L_\infty(M; τ), with Fedor Sukochev, Mathematische Zeitschrift, 293 (2019), no. 3-4, 1657–1672.
Derivations with values in ideals of semifinite von Neumann algebras, with Aleksei Ber, Galina Levitina, Fedor Sukochev, Journal of Functional Analysis 272 (12) (2017), 4984-4997.
Completeness of symmetric ∆-normed spaces of τ-measurable operators, with Galina Levitina, Fedor Sukochev, Studia Mathematica 237 (3) (2017), 201-219.
Hyers–Ulam stability of delay differential equations of first order, with Yongjin Li, Mathematische Nachrichten 289 (1) (2016), 60–66.
Hyers–Ulam stability of linear functional differential equations, with Yongjin Li, Journal of Mathematical Analysis and Applications 426 (2) (2015), 1192–1200.
On Hyers–Ulam stability of nonlinear differential equations, with Soon-Mo Jung, Yongjin Li, Bulletin of the Korean Mathematical Society 52 (2) (2015), 685–697.
Papers to appear
For which noncommutative function spaces must a derivation be inner? with Fedor Sukochev. https://arxiv.org/abs/2301.03874
Isometric embeddings of L_p-spaces into noncommutative symmetric spaces, with Marius Junge, Fedor Sukochev, Dmitriy Zanin.
Isometric structure in noncommutative symmetric spaces, with Kai Fang, Tianbao Guo, Fedor Sukochev. https://arxiv.org/abs/2512.20972
Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras, with Fedor Sukochev, Dmitriy Zanin.
The Grothendieck property of the sum and the intersection of Banach spaces, with Denny Leung.
Norms of generalized derivations with values in symmetric spaces, with Marat Pliev, Fedor Sukochev, Ran Xu.
Rank metric isometries and determinant-preserving mappings on II-factors, with Karimbergen Kudaybergenov, Fedor Sukochev. https://arxiv.org/abs/2506.11428
Quasi-commutator estimates for locally measurable operators, with Aleksey Ber, Fedor Sukochev.
Non-commutative Lyapunov measures, with Karimbergen Kudaybergenov, Fedor Sukochev.
Norms of multiplication operators: answering Fialkow--Loebl question, with Fedor Sukochev, Ran Xu, Yunpeng Zhu.
Isometries of Haagerup-Schultz algebras, with Karimbergen Kudaybergenov, Fedor Sukochev, Bing Yan.
The ball-covering property and open projections of $C^*$-algebras, with Jimeng Lu, Karimbergen Kudaybergenov.
Disjointness-preserving mappings on Calkin operator spaces and positive isometries, with Kai Fang, Karimbergen Kudaybergenov, Ran Xu.
Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals, with Fedor Sukochev, Dmitriy Zanin.
Normal derivations for locally measurable operators, with Aleksey Ber, Fedor Sukochev.
Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class, with Fedor Sukochev, Zhizheng Yu. https://arxiv.org/abs/2602.09579
Isomorphic embeddings of noncommutative Lorentz spaces, with Chenhao Gao, Fedor Sukochev, Zhizheng Yu.
Pisier's question: Steinberg theorem revisited, with Jimeng Lu, Fedor Sukochev, Dmitriy Zanin.
Journals Refereed
Journal of Functional Analysis, Bulletin des Sciences Mathématiques, Glasgow Mathematical Journal, Indagationes Mathematicae, Contemporary Mathematics, Results in Mathematics, Applied Mathematics Letters, Positivity, Journal of Mathematical Inequalities, Journal of nonlinear sciences and applications, Applied Mathematics and Computation, Mathematical Methods in the Applied Sciences, Mathematics (MDPI), Banach Journal of Mathematical Analysis, Journal of inequalities and applications.
Conferences & Talk &Visit
The fourth Annual Postgraduate Conference (Plenary Speaker), UNSW, Sydney, 7 June 2017.
The 61st annual meeting of the Australian Mathematical Society, Macquarie University, Sydney, 12–15 December 2017.
The fifth Annual Postgraduate Conference (Speaker and Session chair), UNSW, Sydney, 8 June 2018.
Research visiting & presentation on ''Derivations into ideals of von Neumann algebras'' in Mini Workshop on Noncommutative Analysis, Central South University, Changsha, 16-20 July 2018.
The International Workshop on Operator Theory and Applications (IWOTA) , Shanghai, 23-27 July 2018.
Research visiting, Central South University, Changsha, 2-5 January 2019.
Analysis seminar, UNSW, Sydney, 31 July 2019.
Research visiting, Harbin institute of technology, Harbin, 22--25 Dec 2019. Talk on 24 Dec, ''Derivations into ideals of von Neumann algebras''.
Research visiting, Sun Yat-sen University, Guangzhou, 26-27 Dec 2019. Talk on 27 Dec, ''Operator \theta-Holder functions''.
Pure seminar, Resolution of a problem by W.A.J Luxemburg, UNSW, Sydney, 25 Feb 2020.
The 64th Annual Meeting of The Australian Mathematical Society, Harmonic Analysis Section, the University of New England, Armidale, 8--11 Dec 2020. ''Operator \theta-Holder functions''.
ANR workshop 2021, Noncommutative analysis on groups and quantum groups, 17--18 Jun 2021, Besancon. ''Isometries on noncommutative symmetric spaces''.
Seminar, Harbin institute of technology, Harbin, 15 Oct 2021. ``Doubly stochastic operators and Hardy--Littlewood--Polya majorization''.
Visiting, Harbin institute of technology, May 2022- Oct 2022.
Seminar, `Doubly stochastic operators and Hardy--Littlewood--Polya majorization''. Shaanxi Normal University, Xi'an Shaanxi, 8 July, 2022.
The first Harbin-Moscow conference on analysis, "On Arazy's problem concerning isomorphic embeddings of ideals of compact operators", 28--29, July, 2022.
Seminar for Analysis and probability "Isometries on noncommutative symmetric spaces", 29, October, 2022.
Collumqium, "Derivations with values in noncommutative symmetric spaces", HIT, 14 March 2023.
2023 Harbin Functional Analysis Conference, 31 March-2 April 2023. "Isometries on noncommutative symmetric spaces". 2 April 2023.
Visiting, Xinjiang University, 13-15 May 2023. "Isometries on noncommutative symmetric spaces". 14 May 2023
Seminar, "Derivations with values in noncommutative symmetric spaces", Nankai University, 17 May 2023.
Seminar, "Isometries on noncommutative symmetric spaces", Nankai University, 18 May 2023.
Mini course (12 hours), XinJiang University, 9--20 September 2023.
International Seminar “Operator Theory, Differential Equations and their Applications”, Vladikavkaz Scientific Center of the Russian Academy of Sciences, 18 October 2023.
Seminar, "Isometries on noncommutative L_0-spaces", Nankai University, 23 October 2023.
Section speaker, the Annual meeting of the Chinese Mathematical Society, Dalian, 22--25 December 2023.
Functional analysis seminar, Harbin Normal University, 30 December 2023.
Ghent Methusalem Junior Seminar, Ghent University, Belgium, 14 February 2024.
Mini Workshop, Nankai University, Tianjin, 4 April 2024. "Isomorphic classification of L_{p,q}-spaces"
Positivity and Banach spaces, Nankai University, Tianjin, 1--4 July 2024.
Functional Analysis and its applications, South-central Minzu University, Wuhan, 13-15 July, 2024.
China--Japan--Korea Conference on Functional Analysis, 11-17 August, 2024 (co-organizer).
Lie Algebras and Related Topics, 16-19 September, 2024 (co-organizer).
Operator Theory and Banach Spaces, WuXi, 18-21 October, 2024.
Workshop on Functional Analysis, Changsha, 13-14 December, 2024.
Mathematical Aspects of Quantum Theory, BIMSA, Beijing, 6-9 January, 2025.
Workshop on Functional Analysis, Xiamen, 9-11 January, 2025.
Workshop on Functional Analysis, Yangzhou, 18-20 April, 2025.
"ORDER ANALYSIS AND RELATED ISSUES OF MATHEMATICAL MODELING, XVIII: OPERATOR THEORY AND DIFFERENTIAL EQUATIONS", RSO-A, Dzinaga Village, June 29–July 5, 2025.
China--Japan--Korea Conference on Functional Analysis, 6-12 July, 2025.
Seminar dedicated to Professor Congxin Wu, 23-25 July, 2025.
Visiting, Chongqin Normal University, 25-28 July, 2025.
Functional Analysis and its applications, Tiangong University, 6-10 August, 2025.
The annual meeting of Heilongjiang Mathematical Society, Jiamusi, 15-17 August, 2025.
Workshop, Shanghai University, 14-16 November, 2025.
Workshop (co-organizer), Harbin institute of technology, 28-30 November, 2025.
Workshop of functional analysis, Tianjin University of Technology, 26-29 December, 2025.
Noncommutative Harmonic Analysis and Quantum information, Mathematisches Forschungsinstitut Oberwolfach, 25-30 January, 2026.
Hangzhou Workshop on Functional Analysis, Zhejiang University of Science and Technology, 20-22 March, 2026.
AWARDS:
Dean’s Award for Outstanding PhD Theses, 2019.
The AustMS Lift-Off Fellowship, 2019.
Postgraduate Research Student Support, 2018.
Chinese Government Award For Outstanding Self-Financed Students Abroad, 2017.
School of Mathematics and Statistics Top-up Scholarships, UNSW Sydney, 2016--2019.
University International Postgraduate Award (UIPA) + TFS, University of New South Wales, 2016--2019.
HUA WEI Scholarhsip, Sun Yat-sen University, 2014.
Collaborators:
Sergey Astashkin (Samara University), Shavkat Ayupov (V.I. Romanovskiy Institute of Mathematics), Alesey Ber (National University of Uzbekistan), Dostilek Dauitbek (Kazakh National Pedagogical University), Soon-Mo Jung (Hong-Ik University), Marius Junge (UIUC), Galina Levitina (ANU), Denny Leung (National University of Singapore), Yongjin Li (SYSU), Karimbergen Kudaybergenov (Nukus State University), Marat Pliev (Southern Mathematical Institute of Russian Academy of Science), Olga Sadovskaya (Institute of Mathematics of Uzbekistan Academy of Sciences), Fedor Sukochev (UNSW), Dmitriy Zanin (UNSW)