MY PREPRINTS AND PUBLICATIONS

My research interests are in the fields of Operator Theory and Operator Algebras. More specifically, I am interested in Toeplitz, Hankel, composition operators, weighted composition operators on Hilbert spaces of analytic function spaces such as Bergman, Hardy and Segal-Bargmann (Fock) spaces. I am also interested in dilation theory, frame theory and its applications, and reproducing kernel methods in Machine Learning.
Our research group in Complex Analysis and Operator Theory.
The posted version of my published papers below may be slightly different from the publishers' versions. Click a title to see the coressponding abstract. Click an abstract to hide it.


  1. On compactness of products of Toeplitz operators (pdf) (with Tomas Miguel Rodriguez and Sonmez Sahutoglu), submitted (2024), ; arXiv:2401.04869
  2. Closed-range posinormal operators and their products (pdf) (with Paul Bourdon, Carlos Kubrusly and Derek Thompson), Linear Algebra Appl. 671 (2023), 38--58; arXiv:2212.02012
  3. Spectra of some weighted composition operators on the ball (pdf) (with Scott Kaschner, Chloe Makdad, Benjamin Rempfer, Derek Thompson and DeJuan Winters), Acta Sci. Math. (Szeged) (2023),
  4. Square roots of weighted shifts of multiplicity two (pdf) (with Chanaka Kottegoda and Tomas Miguel Rodriguez), Canadian Mathematical Bull. (2022),
  5. A generalization of the Brown-Halmos theorems for the unit ball (pdf) (with Akaki Tikaradze), Adv. Math. 404 (2022), Paper No. 108411; arXiv:2101.03937
  6. Analogues of finite Blaschke products as inner functions (pdf) (with Christopher Felder), Bull. Lond. Math. Soc. (2022), 1--20; arXiv:2105.01766
  1. On compactness of products of Toeplitz operators (pdf) (with Tomas Miguel Rodriguez and Sonmez Sahutoglu), submitted (2024), ; arXiv:2401.04869
  2. Closed-range posinormal operators and their products (pdf) (with Paul Bourdon, Carlos Kubrusly and Derek Thompson), Linear Algebra Appl. 671 (2023), 38--58; arXiv:2212.02012
  3. Spectra of some weighted composition operators on the ball (pdf) (with Scott Kaschner, Chloe Makdad, Benjamin Rempfer, Derek Thompson and DeJuan Winters), Acta Sci. Math. (Szeged) (2023),
  4. Square roots of weighted shifts of multiplicity two (pdf) (with Chanaka Kottegoda and Tomas Miguel Rodriguez), Canadian Mathematical Bull. (2022),
  5. A generalization of the Brown-Halmos theorems for the unit ball (pdf) (with Akaki Tikaradze), Adv. Math. 404 (2022), Paper No. 108411; arXiv:2101.03937
  6. Analogues of finite Blaschke products as inner functions (pdf) (with Christopher Felder), Bull. Lond. Math. Soc. (2022), 1--20; arXiv:2105.01766
  7. Finite rank perturbations of Toeplitz products on the Bergman space (pdf) (with Damith Thilakarathna), J. Funct. Anal. 280 (2021), no. 7, 108850; arXiv:2011.05414
  8. Hyponormal Toeplitz operators on weighted Bergman spaces (pdf) (with Brian Simanek), Integral Transforms Spec. Funct. 32 (2021), no. 5-8, 560-567; arXiv:2003.07330
  9. Inner functions in weighted Hardy spaces (pdf), Anal. Math. Phys. 10 (2020), no. 2, Paper No. 25; arXiv:1912.05715
  10. Decomposing algebraic $m$-isometric tuples (pdf), J. Funct. Anal. 278 (2020), no. 8, 108424; arXiv:1912.05954
  11. Self-commutator norm of hyponormal Toeplitz operators (pdf), Oper. Matrices 13 (2019), no. 1, 85--91
  12. Coposinormality of the Cesàro matrices (pdf) (with H. C. Rhaly Jr.), Arch. Math. (Basel) 110 (2018), no. 2, 167--173
  13. Commutants of Toeplitz operators with harmonic symbols (pdf) (with Akaki Tikaradze), New York J. Math. 23 (2017), 1723--1731; arXiv:1706.01510
  14. Composition operators on Hilbert spaces of entire functions of several variables (pdf) (with Minh Luan Doan and Le Hai Khoi), Integral Equations Operator Theory 88 (2017), no. 3, 301--330
  15. Commutants of separately radial Toeplitz operators in several variables (pdf), J. Math. Anal. Appl. 453 (2017), no. 1, 48--63
  16. Composition operators between Segal-Bargmann spaces (pdf), J. Operator Theory 78 (2017), no. 1, 135--158
  17. Composition operators between $\mathcal{N}_p$-spaces in the ball (pdf) (with Bingyang Hu and Le Hai Khoi), North-West. Eur. J. Math. 2 (2016), 103--120
  18. Adjoints of linear fractional composition operators on weighted Hardy spaces (pdf) (with Zeljko Cuckovic), Acta Sci. Math. (Szeged) 82 (2016), no. 3-4, 651--662; arXiv:1509.01510
  19. The structure of $m$-isometric weighted shift operators (pdf) (with Belal Abdullah), Oper. Matrices 10 (2016), no. 2, 319--334
  20. Commutants of Toeplitz operators with separately radial polynomial symbols (pdf) (with Amila Appuhamy), Complex Anal. Oper. Theory 10 (2016), no. 1, 1--12
  21. Algebraic properties of operator roots of polynomials (pdf), J. Math. Anal. Appl. 421 (2015), no. 2, 1238--1246
  22. Invertible composition operators: the product of a composition operator with the adjoint of a composition operator (pdf) (with John H. Clifford and Alan Wiggins), Complex Anal. Oper. Theory 8 (2014), no. 8, 1699--1706
  23. Normal and isometric weighted composition operators on the Fock space (pdf), Bull. Lond. Math. Soc. 46 (2014), no. 4, 847--856
  24. Hilbert-Schmidt Hankel operators over complete Reinhardt domains (pdf), Integral Equations Operator Theory 78 (2014), no. 4, 515--522
  25. Toeplitzness of composition operators in several variables (pdf) (with Zeljko Cuckovic), Complex Var. Elliptic Equ. 59 (2014), no. 10, 1351--1362; arXiv:1308.2214
  26. Toeplitz operators on Bergman spaces of polyanalytic functions (pdf) (with Zeljko Cuckovic), Bull. Lond. Math. Soc. 44 (2012), no. 5, 961--973; arXiv:1012.2816
  27. Toeplitz operators on radially weighted harmonic Bergman spaces (pdf), J. Math. Anal. Appl. 396 (2012), no. 1, 164--172; arXiv:1004.0860
  28. Self-adjoint, unitary, and normal weighted composition operators in several variables (pdf), J. Math. Anal. Appl. 395 (2012), no. 2, 596--607; arXiv:1207.5980
  29. Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space (pdf) (with Wolfram Bauer), J. Funct. Anal. 261 (2011), no. 9, 2617--2640
  30. Compact Toeplitz operators on Segal-Bargmann type spaces (pdf) (with Bo Li), New York J. Math. 17A (2011), 213--224
  31. Commutator ideals of subalgebras of Toeplitz algebras on weighted Bergman spaces (pdf), J. Operator Theory 64 (2010), no. 1, 89--101
  32. Compact Hankel operators on generalized Bergman spaces of the polydisc (pdf), Integral Equations Operator Theory 67 (2010), no. 3, 425--438
  33. A refined Luecking's theorem and finite-rank products of Toeplitz operators (pdf), Complex Anal. Oper. Theory 4 (2010), no. 2, 391--399; arXiv:0802.3925
  34. Commutant lifting for commuting row contractions (pdf) (with Kenneth R. Davidson), Bull. Lond. Math. Soc. 42 (2010), no. 3, 506--516; arXiv:0906.4526
  35. On Toeplitz operators on Bergman spaces of the unit polydisk (pdf), Proc. Amer. Math. Soc. 138 (2010), no. 1, 275--285
  36. Compact Toeplitz operators with continuous symbols (pdf), Glasg. Math. J. 51 (2009), no. 2, 257--261
  37. Finite-rank products of Toeplitz operators in several complex variables (pdf), Integral Equations Operator Theory 63 (2009), no. 4, 547--555
  38. The commutants of certain Toeplitz operators on weighted Bergman spaces (pdf), J. Math. Anal. Appl. 348 (2008), no. 1, 1--11; arXiv:0802.3921
  39. On the commutator ideal of the Toeplitz algebra on the Bergman space of the unit ball in $\mathbb{C}^n$ (pdf), J. Operator Theory 60 (2008), no. 1, 149--163
  40. On a class of ideals of the Toeplitz algebra on the Bergman space (pdf), Proc. Amer. Math. Soc. 136 (2008), no. 10, 3571--3577; arXiv:0705.0970
  41. On the essential commutant of Toeplitz operators in several complex variables (pdf), Integral Equations Operator Theory 59 (2007), no. 4, 555--578
  1. Finite rank Toeplitz operators (pdf), 2013. In this note we offer a simplified proof of a theorem by Borichev and Rozenblum on finite rank Toeplitz operators whose symbols may have unbounded supports.
  2. Trace class Toeplitz operators with unbounded symbols on weighted Bergman spaces (pdf), 2010. In this note we give an easy construction of functions on the unit ball that are not essentially bounded near any point on the unit sphere but the corresponding Toeplitz operators are all trace class on the Bergman space.
  3. Commutator ideals of subalgebras of Toeplitz algebras on weighted Bergman spaces II (pdf), 2007. In this note we give a more general result than the result in our previous paper. The technique is almost the same as before.
Return to homepage

Powered by MathJax This webpage uses the bootstrap framework.