Dr. V B KIRAN KUMAR
Assistant Professor
Department of Mathematics
Cochin University of Science and Technology
Kochi - 682022,
Kerala, India
BRIEF BIO
I joined CUSAT Maths department in 2015.
Before that, I worked at PSMO College (2014-15), University of Calicut (2012-13).
I was a postdoctoral fellow at Kerala School of Mathematics (2013-14).
I completed my masters and PhD from CUSAT Maths Department.
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RESEARCH INTERESTS
My research interest is broadly on Functional Analysis. I work on the spectral approximation problems on Hilbert spaces, with applications to concrete examples.
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RESEARCH PROFILES
JOURNAL PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 21]
A Note on Generalized Locally Toeplitz Operators, Numerical Linear Algebra with Applications, 2025
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Revisiting Korovkin-type theorems in Banach function spaces, Mediterranean Journal of Mathematics, 2025
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Stability in non-normal periodic Jacobi operators: advancing Borg's theorem, Advances in Operator Theory, 2025
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On approximating the symplectic spectrum of infinite-dimensional operators, Journal of Mathematical Physics , 2024
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An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators, Quantum Studies: Mathematics and Foundations, 2024
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An Expository Note on Wavelets and Graph C*-algebras, Indian Journal of Pure And Applied Mathematics, 2024
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Operator Version of Korovkin Theorem; Degree of Convergence and Application to Preconditioners, Journal of Mathematical Analysis and Applications, 2023
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Spectral Analysis of Singular Matrices in SIMO Channel, Applied Mathematics and Computations, 2023
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Banach spaces of GLT Sequences and Function Spaces, Electronic Journal of Linear Algebra, 2022
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Korovkin-type theorems on B(H) and their applications to function spaces, Monatshefte für Mathematik, Springer 2021
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CONFERENCE PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 2]
Discrete Borg-Type theorems, National Seminar on Topology and Analysis (NSOTA 2014),, 2014
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Preconditioners in Spectral Approximation , Proceedings of the National Seminar on Mathematical Analysis and Algebra (MAA 2013), 2013
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AWARDS AND HONOURS
Kerala State Young Scientist Award from KSCSTE, in the year 2017
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RESEARCH PROJECTS
"Study of Spectral Properties of Infinite Dimensional Operators using Linear Algebraic Techniques" (UGC- -0001 --0001 , Total outlay Rs.1000000)
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"Korovkin-type Approximation and Application to Spectral Analysis" (KSCSTE- 0021 -0024 , Total outlay Rs.1425000)
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"Symplectic Spectral Theory" (SERB- 0023 -0026 , Total outlay Rs.1403600)
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