64 citations · 164 across the 7 of their papers we have counts for
8 papers
Bounds for the Davis-Wielandt radius of bounded linear operators
Pintu Bhunia, Aniket Bhanja, Santanu Bag +1
We obtain upper and lower bounds for the Davis-Wielandt radius of bounded linear operators defined on a complex Hilbert space, which improve on the existing ones. We also obtain bo…
On the numerical range of operators on some special Banach spaces
Kalidas Mandal, Aniket Bhanja, Santanu Bag +1
The numerical range of a bounded linear operator on a complex Banach space need not be convex unlike that on a Hilbert space. The aim of this paper is to study operators on $ \…
Estimations of zeros of a polynomial using numerical radius inequalities
Pintu Bhunia, Santanu Bag, Raj Kumar Nayak +1
We present new bounds for the numerical radius of bounded linear operators and operator matrices. We apply upper bounds for the numerical radius to the Frobenius compan…
Bounds for zeros of a polynomial using numerical radius of Hilbertian space operators
Pintu Bhunia, Santanu Bag, Kallol Paul
We obtain bounds for the numerical radius of operator matrices which improve on the existing bounds. We also show that the inequalities obtained here generalize the ex…
Bounds of numerical radius of bounded linear operator using -Aluthge transform
Santanu bag, Pintu Bhunia, Kallol Paul
We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of -Aluthge tr…
Numerical radius inequalities and its applications in estimation of zeros of polynomials
Pintu Bhunia, Santanu Bag, Kallol Paul
We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds…
Numerical radius inequalities of operator matrices with applications
Pintu Bhunia, Santanu Bag, Kallol Paul
We present upper and lower bounds for the numerical radius of operator matrices which improves on the existing bound for the same. As an application of the results obt…
On the numerical index of polyhedral Banach spaces
Debmalya Sain, Kallol Paul, Pintu Bhunia +1
The computation of the numerical index of a Banach space is an intriguing problem, even in case of two-dimensional real polyhedral Banach spaces. In this article we present a gener…