7 citations · 14 across the 10 of their papers we have counts for
10 papers
A Note on Generalized Locally Toeplitz Operators
V. B. Kiran Kumar, N. S. Sarathkumar
Generalized Locally Toeplitz (GLT) matrix sequences arise from large linear systems that approximate Partial Differential Equations (PDEs), Fractional Differential Equations (FDEs)…
Korovkin-type approximation for non-positive operators
V. B. Kiran Kumar, M. N. N. Namboodiri, P. C. Vinaya
The classical Korovkin theorem traditionally relies on the positivity of the underlying sequence of operators. In 1968, D. E. Wulbert obtained a non-positive version by exploiting…
A Note on Approximating the Symplectic Spectrum
V. B. Kiran Kumar, Anmary Tonny
The symplectic eigenvalues play a significant role in finite mode quantum information theory, and Williamson normal form proves to be a valuable tool in this area. Understanding th…
An Order Relation between Eigenvalues and Symplectic Eigenvalues of a Class of Infinite-Dimensional Operators
Tiju Cherian John, V. B. Kiran Kumar, Anmary Tonny
In this article, we obtain some results in the direction of ``infinite dimensional symplectic spectral theory". We prove an inequality between the eigenvalues and symplectic eigenv…
Operator version of Korovkin Theorem; Degree of Convergence and its Applications
V. B. Kiran Kumar, P. C. Vinaya
In a recent article, Dumitru Popa proved an operator version of the Korovkin theorem. We recall the quantitative version of the Korovkin theorem obtained by O. Shisha and B. Mond i…
Revisiting Korovkin-type Theorems in Banach Function Spaces
V. B. Kiran Kumar, P C Vinaya
This article delves into Korovkin-type theorems in Banach function spaces, as established by Yusuf Zeren et al. (2022). We prove that in this theorem, the positivity of the operato…
Banach Spaces of GLT Sequences and Function Spaces
V. B. Kiran Kumar, Rahul Rajan, N. S. Sarath Kumar
The Generalized Locally Toeplitz (GLT) sequences of matrices have been originated from the study of certain partial differential equations. To be more precise, such matrix sequence…
Stability in Non-Normal Periodic Jacobi Operators: Advancing Börg's Theorem
Krishna Kumar G., V. B. Kiran Kumar
Periodic Jacobi operators naturally arise in numerous applications, forming a cornerstone in various fields. The spectral theory associated with these operators boasts an extensive…
Approximation of Entropy Numbers
K. P. Deepesh, V. B. Kiran Kumar
The purpose of this article is to develop a technique to estimate certain bounds for entropy numbers of diagonal operator on spaces of p-summable sequences for finite p greater tha…
A note on discrete Borg-type theorems
V. B. Kiran Kumar, G. Krishna Kumar
We consider the discrete versions of the well known Borg theorem and use simple linear algebraic techniques to obtain new versions of the discrete Borg type theorems. To be precise…