Dr. Qingying Bu is a Professor of Mathematics in the Department of Mathematics at the University of Mississippi.
Research Interests
Dr. Qingying Bu's research is in Functional Analysis. He is also interested in:
- Geometry of Banach spaces
- Tensor products of Banach spaces
- Positive tensor products of Banach lattices
- Regular multilinear operators and homogeneous polynomials on Banach lattices
Biography
Dr. Qingying Bu completed his PhD at Kent State University in 2002, under the supervision of Professor Joe Diestel. He then joined the Department of Mathematics at the University of Mississippi. Since then, he has published more than fifty papers in mathematical journals including world well-known journals such as Journal of Functional Analysis, Proceedings of American Mathematical Society, Studia Mathematica, Bulletin of London Mathematical Society.
According to MathSciNet report, Dr. Bu has published 84 papers, which are cited by 168 authors in 312 papers.
Publications
The positive Schur property on positive projective tensor products and spaces of regular multilinear operators, (with G. Botelho, D. Ji, and K. Navoyan), Monatsh. Math. 197 (2022), no. 4, 565-578.
Polynomial versions of weak Dunford-Pettis properties in Banach lattices, (with Y. Wang and Z. Shi), Positivity 25 (2021), no. 5, 1685-1698.
On Kalton's theorem for regular compact operators and Grothendieck property for positive projective tensor products, Proc. Amer. Math. Soc. 148 (2020), no. 6, 2459-2467.
Complementation in the Fremlin vector lattice symmetric tensor products-II, (with D. Ji and K. Navoyan), Ann. Funct. Anal. 11 (2020), no. 1, 47-61.
Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces, (with D. Ji), Rocky Mountain J. Math. 49 (2019), no. 6, 1829-1842.
Abstract M- and abstract L-spaces of polynomials on Banach lattices, (with G. Buskes and Y. Li), Proceedings of the Edinburgh Mathematical Society, 58 (2015), 617-629.
Positive multiple summing and concave multilinear operators on Banach lattices, (with C.C.A. Labuschagne) Mediterranean Journal of Mathematics, 12 (2015), 77-87.
Diagonals of projective tensor products and orthogonally additive polynomials, (with G. Buskes), Studia Mathematica, 221 (2014), no. 2, 101-115.
Weak sequential completeness of K(X,Y), Canadian Mathematical Bulletin, 56 (2013), no. 3, 503-509.
Applications of semi-embeddings to the study of the projective tensor product of Banach spaces, Illinois J. Math. 56 (2012), no.3, 849-860.
Some geometric properties inherited by the positive tensor products of atomic Banach lattices, (with N.C. Wong), Indagationes Mathematicae, 23 (2012), no.3, 199-213.
Polynomials on Banach lattices and positive tensor products, (with G. Buskes), Journal of Mathematical Analysis and Applications, 388 (2012), no.2, 845-862.
Some properties of the space of regular operators on atomic Banach lattices, (with Y. Li and X. Xue), Collectanea Mathematica 62 (2011), no.2, 131-137.
Some properties of the injective tensor product of Lp[0,1] and a Banach space, J. Funct. Anal. 204 (2003), no.1, 101-121.
On Banach spaces verifying Grothendieck's theorem, Bull. London Math. Soc. 35 (2003), no.6, 738-748.
Courses Taught
- Math 261 Unified Calculus & Analytic Geometry I
- Math 263 Unified Calculus & Analytic Geometry III
- Math 264 Unified Calculus & Analytic Geometry IV
- Math 301 Discrete Mathematics
- Math 353 Elementary Differential Equations
- Math 454 Intermediate Differential Equations
- Math 501 General Topology I
- Math 555 Advanced Calculus I
- Math 556 Advanced Calculus II
- Math 625 Modern Algebra I
- Math 626 Modern Algebra II
Education
B.S. Mathematics, Harbin Institute of Technology (1983)
M.S. Mathematics, Harbin Institute of Technology (1989)
Ph.D. Mathematics, Kentucky State University (2002)