Preeti, Ph.D
Assistant Professor,
Department of Mathematics ,
Mata Sundri College for Women,
University of Delhi
Assistant Professor,
Department of Mathematics ,
Mata Sundri College for Women,
University of Delhi
"Research is to see what everybody else has seen, and think what nobody has thought"-Dr. Albert Szent-Gyorgyi.
My research work focuses on the topic of tensor product of operator systems and characterizations of operator system structural properties via their C* -covers.
Ph.D. in Mathematics, 2017, University of Delhi, Delhi. (Advisor: Prof. Ajay Kumar) . Thesis title: C*-envelopes and Tensor Products of Operator Systems
M.Phil. in Mathematics, 2013, University of Delhi, Delhi. (Advisor: Prof. Ajay Kumar) . Dissertation title: Operator System Structures and Their Tensor Products.
Local version of approximation theorem and of λ-tensor product of operator systems (with Surbhi Beniwal and Ajay Kumar). Adv. Oper. Theory. 35(7) 2022.
Chapter in Book: Operator System Theory: A Survey (with Ajay Kumar). Mathematics and its applications and history. Editor: S.G. Dani. Publisher: Narosa Publication House. ISBN 978-81-8487-723-6,
Quantized Hilbert modules over local operator algebras and hyperrigidity of local operator systems (with Surbhi Beniwal and Ajay Kumar). Annals of Functional Analysis 13 (1), 1-11
Local operator system structures and their tensor products (with Surbhi Beniwal and Ajay Kumar). Adv. Oper. Theory 6, 39, 2021.
Operator space tensor products and inductive limits (with Janson Antony and Ajay Kumar) Journal of Mathematical Analysis and Applications, 470(1): 235-250, 2019.
Nuclearity properties and C* -envelopes of operator system inductive limits (with Ajay Kumar) J. Korean Math Soc., 55(5): 1045-1061, 2018.
Polynomials in operator space theory: Matrix ordering and algebraic aspects (with Ajay Kumar and Vandana Rajpal). Positivity, 22(2): 629-652, 2018.
Embeddings and C*-envelopes of Exact Operator Systems (with Ajay Kumar). Bull. Aust. Math. Soc. , 96(2): 274-285, 2017.
Operator System Nuclearity via C* -envelopes (with Ved Prakash Gupta). J. Aust. Math. Soc., 101(3): 356-375, 2016.
Dr. Ved Prakash Gupta, School of Physical Sciences, Jawaharlal Nehru University, Delhi
G. H. Hardy—>Frank Smithies—>Ajit Iqbal Singh—>Ajay Kumar —>Preeti Luthra