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Faculty Directory Dr. Anubhab Ray
Dr. Anubhab Ray

Dr. Anubhab Ray

Assistant Professor

[email protected]
Vidwan Profile Google Scholar

Academic Information

Ph.D, Jadavpur University, 2019

Research Areas

Functional Analysis Geometry of Banach Spaces

Research Interests

My research primarily focuses on the study of geometric properties of Banach spaces. I have studied the following three intriguing topics in the geometry of Banach spaces: Farthest Point Problem (FPP), Characterization of extreme contractions between Banach spaces, and smoothness of bounded linear operators between Banach spaces. I have explored these topics using elementary norm inequalities along with other important notions like Birkhoff-James orthogonality, norm attainment set of a bounded linear operator etc. I have studied those problems mainly in real Banach spaces. I want to study it in Complex Banach spaces also. In the future, I plan to explore additional geometric problems related to Banach spaces.

Courses Taught

Mathematics I, Mathematics II, Mathematics III, Mathematics IV, Discrete Mathematics

Positions Held

Assistant Professor at IEM, Kolkata

Publications

1. D. Sain, A. Ray, S. Dey and K. Paul, Some remarks on orthogonality of bounded linear operators-II, Acta Scientiarum Mathematicarum (Szeged), 88 (2022), 807-820. 2. A. Ray, D. Sain, S. Dey and K. Paul, Some remarks on orthogonality of bounded linear operators, Journal of Convex Analysis, 29 (2022), 165-181. 3. A. Ray, S. Roy, S. Bagchi and D. Sain, Extreme contractions on finite-dimensional polygonal Banach spaces-II, Journal of Operator Theory, 84:1 (2020), 127-137. 4. D. Sain, K. Paul, A. Mal and A. Ray, A complete characterization of smoothness in the space of bounded linear operators, Linear and Multilinear Algebra,68 (2020), No. 12, 2484- 2494. 5. D. Sain, A. Ray and K. Paul, Extreme contractions on finite-dimensional polygonal Banach spaces, Journal of Convex Analysis, 26 (2019), 877-885. 6. D. Sain, V. Kadets, K. Paul and A. Ray, Chebyshev centers that are not farthest points, Indian Journal of Pure and Applied Mathematics, 49 (2018), 189-204. 7. D. Sain, K. Paul and A. Ray, Farthest point problem and M-compact sets, Journal of Nonlinear and Convex Analysis, 18 (2017), 451-457.