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Alina R Dumitru

Associate Professor

Mathematics & Statistics | College of Arts & Sciences

Areas of Expertise

Matrix analysis; Quantum groups; Operator algebras


Ph.D. Mathematics
University of Cincinnati, 2007

B.S. Mathematics
University of Bucharest, 2002



McMicken Outstanding Doctoral Student Award
University of Cincinnati, 2007

Charles Phelps Taft Dissertation Fellowship
University of Cincinnati, 2005

Taft Graduate Enrichment Award
University of Cincinnati, 2005

Isabel and Mary Neff Scholarship
University of Cincinnati, 2004

Summer Graduate Student Research Fellowship
University of Cincinnati, 2004

Taft Graduate Enhancement Fellowship
University of Cincinnati, 2002-2004


Grants and Contracts Awarded

Faculty development research grant
University of North Florida, 2008

Taft Graduate Student Travel grant
University of Cincinnati, 2007

Publications & Presentations


  1. "Generalized Hellinger Metrics and Audenaert's In-Betweenness", R. Dumitru, J. Franco (to appear, Linear Algebra and its Applications).
  2. "Longitudinal Dynamic Functional Regression", A. M. Staicu, Md N. Islam, R. Dumitru, Eric van Heugten (to appear, Journal of the Royal Statistical Society).
  3. "Fundamental Theorems of Summability Theory for a New Type of Subsequences of Double Sequences",  R. Dumitru, J.Franco (accepted for publication).
  4. "Some trace inequalities for operator monotone and operator convex functions", Trung Hoa Dinh, R. Dumitru, and J. Franco (to appear, Mathematical Inequalities & Applications).
  5. "Non-Linear Interpolation of the Harmonic-Geometric-Arithmetic Matrix Means", T. Hoa Dinh, R. Dumitru, and J. Franco, Lobachevskii Journal of Mathematics, 40(1), (2019), 101-106.
  6. “The matrix power means and interpolations”, Trung Hoa Dinh, R. Dumitru, and J. Franco, Advances in Operator Theory, Vol.3, Nr. 3 (2018), 647-654.
  7. “New characterizations of operator monotone functions”, Trung Hoa Dinh, R. Dumitru, and J. Franco, Linear Algebra and its Applications,546 (2018), 169-186.
  8. “On a q-analogue of Hilbert's inequality”, R. Dumitru and J. Franco, Electronic Journal of Math. Analysis and Applications, Vol. 6(2) (2018), 279-287.
  9. “On a conjecture of Bhatia, Lim and Yamazaki”, Trung Hoa Dinh, R. Dumitru, and J. Franco, Linear algebra and its Applications, Vol. 532 (2017), 140-145.
  10. “On the monotonicity of weighted power means of matrices”, Trung Hoa Dinh, R. Dumitru and J. Franco, Linear Algebra and its Applications, 527 (2017), 128-140.
  11. “On singular value inequalities for matrix means” R. Dumitru, R. Levanger, B. Visinescu, Linear Algebra and its Applications, Vol 439, 8(2013), 2405-2410.
  12. “Nuclear and type I crossed products of C*-algebras by group and compact quantum group actions” R. Dumitru, C. Peligrad, Journal of Operator Theory, 69(2013), 287-296.
  13. “Spectra for compact quantum group actions and crossed products” R. Dumitru, C. Peligrad, Transactions of the American Math. Society, 364(2012), 3699-3713.
  14. “Reflexivity of operator algebras of finite split strict multiplicity” R. Dumitru, C. Peligrad, B. Visinescu, Operators and Matrices, 5(2011), 221-226.
  15. “Simple and Prime crossed products of C*-algebras by compact quantum group coactions” R. Dumitru, Journal of Functional Analysis 257 (2009), 1480-1492.
  16. “Unitary representations of compact quantum groups”, R. Dumitru, Perspectives in Operator Algebras and Math. Physics, 85-90.
  17. “Compact Quantum group actions on C*-algebras and invariant derivations” R. Dumitru, C. Peligrad, Proc. Amer. Math. Soc., Vol. 135, No. 12 (2007), 3977-3984.
  18. “Automorphisms inner in the Local Multiplier Algebra and the Connes Spectrum” R. Dumitru, C. Peligrad, B. Visinescu, Operator Theory 20, Proc. 20thInternational Conf. on Operator Theory, Timisoara, 2004, 75-80.

In progress:

1. "On Renyi Divergences and Matrix Means", Trung Hoa Dinh, R. Dumitru, and J. Franco  (submitted).

2. "Some geometric properties of matrix means in different distance functions", Trung Hoa Dinh, R. Dumitru, and J. Franco (submitted)

3. "Matrix Means and Uncertainty Principle Functions", R. Dumitru,  J. Franco, F. Zhang (submitted)

4. "On the uniform convexity of the q-analogues of Lpspaces and q-Clarkson inequalities", P. Morales, R. Dumitru, and J. Franco, to appear, International Journal of Nonlinear Science.


Contact Information

(904) 620-3740


Office Hours

MW: 12:00-2:00; TR: 1:00-2:00