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 : 12]
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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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Approximation of Entropy Numbers, Complex Analysis and Operator Theory, Springer Vol. 13, 2019
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A short survey on preconditioners and Korovkin- type theorems, Journal of Analysis, Springer 2019
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A Korovkin-type theory for non-self-adjoint Toeplitz operators, Linear Algebra Appl., Springer Vol. 543, 2018
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A note on discrete Borg-type theorems, Linear and Multilinear Algebra, Taylor & Francis Vol. 66, 2017
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Real powers of bounded linear operators, Int. J. Appl. Comput. Math., 3(2):,., Springer Vol. 3, 2017
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Preconditioners in spectral approximation, Ann. Funct. Anal., , Vol. 7, 2016
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Spectral approximation of bounded self-adjoint operators—a short survey, Semigroups, algebras and operator theory, Springer Proc. Math. Stat. , Springer Vol. 142, 2015
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Truncation method for random bounded self-adjoint operators, Banach J. Math. Anal., Vol. 9, 2015
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Perturbation of operators and approximation of spectrum., Proc. Indian Acad. Sci. Math. Sci., Vol. 124, 2014
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CONFERENCE PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 2]
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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
RESEARCH PROJECTS
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"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- -0001 --0001 , Total outlay Rs.1425000)
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