Trieu L Le
- Associate Professor of Mathematics and Statistics, Mathematics and Statistics , College of Natural Sciences and Mathematics
Overview
overview
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I obtained my undergraduate degree in Mathematics in Viet Nam. I joined the Graduate Program at the University at Buffalo in 2002. After completing my Ph.D. degree in Mathematics in 2007, I spent one year as a postdoctoral fellow at the University of Toronto and another year at the University of Waterloo, Ontario, Canada. I came to the University of Toledo as a visiting assistant professor in 2009. I then served as a lecturer from 2012 to 2015, when I became a tenure-track assistant professor. I was granted tenure and promoted to Associate Professor in Fall 2019. I have taught both undergraduate and graduate courses, ranging from College Algebra to Ph.D. courses. My research interests are in Operator Theory, Functional Analysis. Since 2007, I have published more than thirty five research papers in internationally-recognized Mathematics journals, including Integral Equations Operator Theory, Journal of Operator Theory, Journal of Functional Analysis, Bulletin of the London Mathematical Society, Advances in Mathematics. I have served as a referee for various journals.
Publications
selected publications
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Article (Web of Science)
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2021Hyponormal Toeplitz operators on weighted Bergman spaces. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. 32:560-567.Full Text via DOI: 10.1080/10652469.2020.1751153
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2021Finite rank perturbations of Toeplitz products on the Bergman space. JOURNAL OF FUNCTIONAL ANALYSIS. 280.Full Text via DOI: 10.1016/j.jfa.2020.108850
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2020Inner functions in weighted Hardy spaces. ANALYSIS AND MATHEMATICAL PHYSICS. 10.Full Text via DOI: 10.1007/s13324-020-00373-4
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2020Decomposing algebraic m-isometric tuples. JOURNAL OF FUNCTIONAL ANALYSIS. 278.Full Text via DOI: 10.1016/j.jfa.2019.108424
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2019SELF-COMMUTATOR NORM OF HYPONORMAL TOEPLITZ OPERATORS. OPERATORS AND MATRICES. 13:85-91.Full Text via DOI: 10.7153/oam-2019-13-05
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2018On the Structure of N-p-Spaces in the Ball. ACTA MATHEMATICA VIETNAMICA. 43:433-448.Full Text via DOI: 10.1007/s40306-017-0232-1
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2018Coposinormality of the CesA ro matrices. ARCHIV DER MATHEMATIK. 110:167-173.Full Text via DOI: 10.1007/s00013-017-1128-y
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2017Commutants of separately radial Toeplitz operators in several variables. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 453:48-63.Full Text via DOI: 10.1016/j.jmaa.2017.03.088
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2017Composition Operators on Hilbert Spaces of Entire Functions of Several Variables. INTEGRAL EQUATIONS AND OPERATOR THEORY. 88:301-330.Full Text via DOI: 10.1007/s00020-017-2384-8
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2017COMPOSITION OPERATORS BETWEEN SEGAL-BARGMANN SPACES. JOURNAL OF OPERATOR THEORY. 78:135-158.Full Text via DOI: 10.7900/jot.2016jun10.2102
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2017Commutants of Toeplitz operators with harmonic symbols. NEW YORK JOURNAL OF MATHEMATICS. 23:1723-1731.
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2016THE STRUCTURE OF m-ISOMETRIC WEIGHTED SHIFT OPERATORS. OPERATORS AND MATRICES. 10:319-334.Full Text via DOI: 10.7153/oam-10-17
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2016Commutants of Toeplitz Operators with Separately Radial Polynomial Symbols. COMPLEX ANALYSIS AND OPERATOR THEORY. 10:1-12.Full Text via DOI: 10.1007/s11785-014-0439-2
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2015Algebraic properties of operator roots of polynomials. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 421:1238-1246.Full Text via DOI: 10.1016/j.jmaa.2014.07.074
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2014Invertible Composition Operators: The Product of a Composition Operator with the Adjoint of a Composition Operator. COMPLEX ANALYSIS AND OPERATOR THEORY. 8:1699-1706.Full Text via DOI: 10.1007/s11785-014-0354-6
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2014Normal and isometric weighted composition operators on the Fock space. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 46:847-856.Full Text via DOI: 10.1112/blms/bdu046
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2014Hilbert-Schmidt Hankel Operators over Complete Reinhardt Domains. INTEGRAL EQUATIONS AND OPERATOR THEORY. 78:515-522.Full Text via DOI: 10.1007/s00020-013-2103-z
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2014Toeplitzness of composition operators in several variables. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 59:1351-1362.Full Text via DOI: 10.1080/17476933.2013.836189
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2012Toeplitz operators on radially weighted harmonic Bergman spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 396:164-172.Full Text via DOI: 10.1016/j.jmaa.2012.06.006
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2012Self-adjoint, unitary, and normal weighted composition operators in several variables. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 395:596-607.Full Text via DOI: 10.1016/j.jmaa.2012.05.065
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2012Toeplitz operators on Bergman spaces of polyanalytic functions. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 44:961-973.Full Text via DOI: 10.1112/blms/bds024
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2011Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space. JOURNAL OF FUNCTIONAL ANALYSIS. 261:2617-2640.Full Text via DOI: 10.1016/j.jfa.2011.07.006
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2011Compact Toeplitz operators on Segal-Bargmann type spaces. NEW YORK JOURNAL OF MATHEMATICS. 17A:213-224.
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2010Compact Hankel Operators on Generalized Bergman Spaces of the Polydisc. INTEGRAL EQUATIONS AND OPERATOR THEORY. 67:425-438.Full Text via DOI: 10.1007/s00020-010-1788-5
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2010COMMUTATOR IDEALS OF SUBALGEBRAS OF TOEPLITZ ALGEBRAS ON WEIGHTED BERGMAN SPACES. JOURNAL OF OPERATOR THEORY. 64:89-101.
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2010Commutant lifting for commuting row contractions. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 42:506-516.Full Text via DOI: 10.1112/blms/bdq016
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2010A Refined Luecking’s Theorem and Finite-Rank Products of Toeplitz Operators. COMPLEX ANALYSIS AND OPERATOR THEORY. 4:391-399.Full Text via DOI: 10.1007/s11785-009-0008-2
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2010On Toeplitz operators on Bergman spaces of the unit polydisk. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 138:275-285.Full Text via DOI: 10.1090/s0002-9939-09-10060-6
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2009COMPACT TOEPLITZ OPERATORS WITH CONTINUOUS SYMBOLS. Glasgow Mathematical Journal. 51:257-261.Full Text via DOI: 10.1017/s0017089508004679
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2009Finite-Rank Products of Toeplitz Operators in Several Complex Variables. INTEGRAL EQUATIONS AND OPERATOR THEORY. 63:547-555.Full Text via DOI: 10.1007/s00020-009-1661-6
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2008On a class of ideals of the Toeplitz algebra on the Bergman space. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 136:3571-3577.Full Text via DOI: 10.1090/s0002-9939-08-09569-5
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2008The commutants of certain Toeplitz operators on weighted Bergman spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 348:1-11.Full Text via DOI: 10.1016/j.jmaa.2008.07.005
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2007On the Essential Commutant of Toeplitz Operators in Several Complex Variables. INTEGRAL EQUATIONS AND OPERATOR THEORY. 59:555-578.Full Text via DOI: 10.1007/s00020-007-1527-8
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Contact
full name
- Trieu L Le