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Dr. V B KIRAN KUMAR

Assistant Professor

Department of Mathematics

Cochin University of Science and Technology
Kochi - 682022, Kerala, India

E-mail-

vbk@cusat.ac.in



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.

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.

RESEARCH PROFILES
Google Scholar : https://scholar.google.co.in/citations?hl=en&view_op=list_works&gmla=AJsN-F5GoUKrHv6VTDHVL4RPgYwcw2dezBTHgctDZ7ZsNw5VzVYkvF6pcj2RZh2WxEqgM8LpQhDbMZCaiVYMh1GyhcZBjpxn9Q&user=chCK9y4AAAAJ

JOURNAL PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 12]
  • Korovkin-type theorems on B(H) and their applications to function spaces, Monatshefte für Mathematik, Springer 2021

  • Approximation of Entropy Numbers, Complex Analysis and Operator Theory, Springer Vol. 13, 2019

  • A short survey on preconditioners and Korovkin- type theorems, Journal of Analysis, Springer 2019

  • A Korovkin-type theory for non-self-adjoint Toeplitz operators, Linear Algebra Appl., Springer Vol. 543, 2018

  • A note on discrete Borg-type theorems, Linear and Multilinear Algebra, Taylor & Francis Vol. 66, 2017

  • Real powers of bounded linear operators, Int. J. Appl. Comput. Math., 3(2):,., Springer Vol. 3, 2017

  • Preconditioners in spectral approximation, Ann. Funct. Anal., , Vol. 7, 2016

  • Spectral approximation of bounded self-adjoint operators—a short survey, Semigroups, algebras and operator theory, Springer Proc. Math. Stat. , Springer Vol. 142, 2015

  • Truncation method for random bounded self-adjoint operators, Banach J. Math. Anal., Vol. 9, 2015

  • Perturbation of operators and approximation of spectrum., Proc. Indian Acad. Sci. Math. Sci., Vol. 124, 2014

  • CONFERENCE PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 2]
  • Discrete Borg-Type theorems, National Seminar on Topology and Analysis (NSOTA 2014),, 2014

  • Preconditioners in Spectral Approximation , Proceedings of the National Seminar on Mathematical Analysis and Algebra (MAA 2013), 2013

  • AWARDS AND HONOURS
  • Kerala State Young Scientist Award from KSCSTE, in the year 2017

  • RESEARCH PROJECTS
  • "Study of Spectral Properties of Infinite Dimensional Operators using Linear Algebraic Techniques" (UGC- -0001 --0001 , Total outlay Rs.1000000)

  • "Korovkin-type Approximation and Application to Spectral Analysis" (KSCSTE- -0001 --0001 , Total outlay Rs.1425000)