64 citations · 883 across the 94 of their papers we have counts for
12 papers · 1 filter
Inequalities involving Berezin norm and Berezin number
Pintu Bhunia, Kallol Paul, Anirban Sen
We obtain new inequalities involving Berezin norm and Berezin number of bounded linear operators defined on a reproducing kernel Hilbert space Among many inequalitie…
Improvement of numerical radius inequalities
Pintu Bhunia, Kallol Paul
We develop upper and lower bounds for the numerical radius of off-diagonal operator matrices, which generalize and improve on the existing ones. We also show that if $A…
Improved inequalities for the numerical radius via Cartesian decomposition
Pintu Bhunia, Suvendu Jana, Mohammad Sal Moslehian +1
We develop various lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve the existing inequality $w^2(A)\g…
Generalized -numerical radius of operators and related inequalities
Pintu Bhunia, Kais Feki, Kallol Paul
Let be a non-zero positive bounded linear operator on a complex Hilbert space . Let denote the -numerical radius of an oper…
New semi-norm of semi-Hilbertian space operators and its application
Pintu Bhunia, Anirban Sen, Kallol Paul
In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic propertie…
-numerical radius : New inequalities and characterization of equalities
Pintu Bhunia, Kallol Paul
We develope new lower bounds for the -numerical radius of semi-Hilbertian space operators, and applying these bounds we obtain upper bounds for the -numerical radius of the c…
Annular bounds for the zeros of a polynomial from companion matrix
Pintu Bhunia, Kallol Paul
Let be a complex polynomial with and . Several new upper bounds for the moduli of the zeros of are…
Refined inequalities for the numerical radius of Hilbert space operators
Pintu Bhunia, Suvendu Jana, Kallol Paul
We present some new upper and lower bounds for the numerical radius of bounded linear operators on a complex Hilbert space and show that these are stronger than the existing ones.…
Numerical radius inequalities of operator matrices
Pintu Bhunia, Kallol Paul
Several upper and lower bounds for the numerical radius of operator matrices are developed which refine and generalize the earlier related bounds. In particular, we sh…
Development of inequality and characterization of equality conditions for the numerical radius
Pintu Bhunia, Kallol Paul
Let be a bounded linear operator on a complex Hilbert space and ( ) denote the real part (imaginary part) of A. Among other refinements of the lower bounds fo…
On approximate orthogonality and symmetry of operators in semi-Hilbertian structure
Jeet Sen, Debmalya Sain, Kallol Paul
The purpose of the article is to generalize the concept of approximate Birkhoff-James orthogonality, in the semi-Hilbertian structure. Given a positive operator on a Hilbert…
Furtherance of Numerical radius inequalities of Hilbert space operators
Pintu Bhunia, Kallol Paul
If are bounded linear operators on a complex Hilbert space, then % and $w(AB \pm BA)\leq 2\sqrt{2}\|B…