Ho Minh Toan

Doctor Department of Geometry and Topology Research interests: C*-algebras, Matrix Analysis, Moment Problem

Address
Office: Building A5, Room 105
Tel: +84 (02)4 37563474 /105
Email: hmtoan AT math.ac.vn

Eduacation

• B.Sc. 1996, Quy Nhon University
• PhD: 2006, Toronto University, Canada

PUBLICATIONS

List of publications in MathSciNet

List of recent publications

1	Lê Công Trình, Vu The Khoi, Ho Minh Toan, Đinh Trung Hòa, Optimization of some types of R´enyi divergences between unitary orbits, Linear and Multilinear Algebra Volume 73, 2025 - Issue 3, Pages 536-546, (SCI-E, Scopus).
2	Du Thi Thu Trang, Ho Minh Toan, Hoang Phi Dung, Representation of positive polynomials on a generalized strip and its application to polynomial optimization, Optimization Letters 18 (2024), no. 7, 1727–1746, (SCI-E, Scopus).
3	Ho Minh Toan, Vu The Khoi, Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22 (2023) 790-799, (SCI-E, Scopus).
4	Vu The Khoi, Ho Minh Toan, Le Cong Trinh, Dinh Trung Hoa, Optimization of quantum divergences between unitary orbits, Quantum Information Processing, 22 (2023), 18 pages, (SCI-E, Scopus).
5	Vu The Khoi, Ho Minh Toan, Metric properties of alternative fidelities, Quantum Information and Computation 22, No. 9&10 (2022) 790 - 799, (SCI-E, Scopus).
6	Vu The Khoi, Ho Minh Toan, On the surjectivity of certain word maps on SU(2), Journal of Algebra and Its Applications 21 (2022), 2250037, (SCI-E, Scopus).
7	Du Thu Trang, Ho Minh Toan, Nguyen Thi Hong, Algebra of Polynomials Bounded on a Semi-algebraic Set [f≤r], Acta Mathematica Vietnamica, 46 (2021), pages 821–838, Scopus.
8	Trung Hoa Dinh, Ho Minh Toan, Cong Trinh Le , Positivstellensätze for polynomial matrices, Positivity volume 25 (2021), pages 1295–1312, SCI-E, Scopus.
9	Du Thi Thu Trang, Ho Minh Toan, Polynomial optimization on some unbounded closed semi-algebraic sets, Journal of Optimization Theory and Applications volume 183, pages 352–363(2019), (SCI-E, Scopus).
10	Trung Hoa Dinh, Ho Minh Toan, Cong Trinh Le, Bich Khue Vo, Two trace inequalities for operator functions, Mathematical Inequalities and Applications, 22 (2019), 1021-1026, SCI(-E), Scopus.
11	Trung Hoa Dinh, Ho Minh Toan, Tiến Sơn Phạm, A Note on Nondegenerate Matrix Polynomials, Acta Mathematica Vietnamica, 43 (2018), 761–778, (Scopus).
12	Ha Huy Vui, Ho Minh Toan, Positive polynomials on nondegenerate basic semi-algebraic sets, Advances in Geometry, 16 (2016), 497-510,SCI(-E); Scopus.
13	Dinh Trung Hoa, Du Thi Hoa Binh, Ho Minh Toan, On some matrix mean inequalities with Kantorovich constant, Scientiae Mathematicae Japonicae (2015) (In Editione Electronica).
14	Ho Minh Toan, Dinh T. Hoa, Hiroyuki Osaka, Interpolation classes and matrix means. Banach Journal of Mathematical Analysis, 9 (2015), 140-152, SCI(-E), Scopus.
15	Dinh T. Hoa, Ho Minh Toan, Hiroyuki Osaka, Matrix means of finite orders, RIMS Kokyuroku, 1893 (2014), 57-66.
16	Dinh T. Hoa, Du T. H. Binh, Ho Minh Toan, On some inequalities with matrix means, RIMS Kokyuroku, 1893 (2014), 67-71.
17	Dinh Trung Hoa, Ho Minh Toan, Hiroyuki Osaka, The linear span of projections in AH algebras and for inclusions of C∗-algebras. Abstract and Applied Analysis 2013, Art. ID 204319, 12 pp, Scopus.
18	Dinh Trung Hoa, H. Osaka, Ho Minh Toan, On generalized powers-stormer’s inequality,  Linear Algebra and Its Application, 438 (2013), 242 -- 249, SCI(-E); Scopus.
19	Ho Minh Toan, Classification of certain inductive limit type actions on approximate interval algebras, Journal of the Ramanujan Mathematical Society 25 (2010), 329 -- 343, SCI(-E); Scopus.
20	George A. Elliott, Ho Minh Toan, Andrew S. Toms, A class of simple $C*-$-algebras with stable rank one, J. Funct. Anal. 256 (2009), 307-322.
21	Ho Minh Toan, On the property SP of certain AH algebras. C. R. Math. Acad. Sci. Soc. R. Can. 29 (2007), 81–86.

Preprints

1	IMH20250503, Ho Minh Toan, Tran Manh Cuong, Vu The Khoi, Some remarks on quantum speed limit for n - dimensional systems.
2	IMH20250302, Le Thanh Hieu, Ho Minh Toan, Flat extension technique for moment matrices of positive linear functionals over mixed polynomials and an application in quantum information