Pintu Bhunia

activity

20182026

most citedNumerical radius inequalities and its applications in estimation of zeros of polynomials

64 citations · 577 across the 60 of their papers we have counts for

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61 papers · 1 filter

math.FA2026

Convexity of Berezin Range and Berezin Radius Inequalities via a class of Seminorm

P. Hiran Das, Athul Augustine, Pintu Bhunia +1

Let $B (H)$ denote the $C^{*}$ -algebra of all bounded linear operators acting on a reproducing kernel Hilbert space $H (Ω) .$ In this paper, we introduce a new famil…

math.FA2026

Refined numerical radius estimates and Euclidean operator radius

Pintu Bhunia, Rukaya Majeed

We obtain new lower and upper bounds for the numerical radius of a bounded linear operator $A$ on a complex Hilbert space, which refine the existing ones. In particular, if $w (A)$ …

math.FA2025★ 1 cited

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

Athul Augustine, P. Hiran Das, Pintu Bhunia +1

This paper introduces a new family of semi-norms, say $σ_{μ}$ -Berezin norm on the space of all bounded linear operators $B (H)$ defined on a reproducing kernel Hilbert space…

math.FA2025

A new seminorm of $n$ -tuple operators and its applications

Pintu Bhunia, Messaoud Guesba

We introduce a new seminorm of $n$ -tuple operators, which generalizes the $A$ -Euclidean operator radius of $n$ -tuple bounded linear operators on a complex Hilbert space. We introdu…

math.FA2025

A new norm on the space of reproducing kernel Hilbert space operators and Berezin number inequalities

Raj Kumar Nayak, Pintu Bhunia

In this note, we introduce a novel norm, termed the $t -$ Berezin norm, on the algebra of all bounded linear operators defined on a reproducing kernel Hilbert space $H$ as…

math.FA2025

Strengthening of spectral radius, numerical radius, and Berezin radius inequalities

Pintu Bhunia

Suppose $H_{1}, H_{2}, \dots, H_{n}$ are arbitrary complex Hilbert spaces, and $A = [A_{ij}]$ is an $n \times n$ operator matrix with $A_{ij}\in \mathca…

math.FA2025

A Family of Semi-norms in $C^{*}$ -algebras

Athul Augustine, Pintu Bhunia, P. Shankar

We introduce a new family of non-negative real-valued functions on a $C^{*}$ -algebra $A$ , i.e., for $0 \leq μ \leq 1,$ $$\|a\|_{σ_μ}= \text{sup}\left\lbrace \sqrt{|f(a)|^2 σ_…

math.FA2025★ 1 cited

Numerical radius and $ℓ_{p}$ operator norm of Kronecker products and Schur powers: inequalities and equalities

Pintu Bhunia, Sujit Sakharam Damase, Apoorva Khare

Suppose $A = [a_{ij}] \in M_{n} (C)$ is a complex $n \times n$ matrix and $B \in B (H)$ is a bounded linear operator on a complex Hilbert space $\mat…

math.FA2024

Inequalities for linear functionals and numerical radii on $C^{*}$ -algebras

Pintu Bhunia

Let $A$ be a unital $C^{*}$ -algebra with unit $e$ . We develop several inequalities for a positive linear functional $f$ on $A$ and obtain several bounds…

math.FA2024

Numerical Radius Inequalities via Orlicz function

Pintu Bhunia, Raj Kumar Nayak

Employing the Orlicz functions we extend the Buzano's inequality which is a refinement of the Cauchy-Schwarz inequality. Also using the Orlicz functions we obtain several numerical…

math.FA2024

$A$ -Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators

Messaoud Guesba, Somdatta Barik, Pintu Bhunia +1

Consider $H$ is a complex Hilbert space and $A$ is a positive operator on $H .$ The mapping $\langle\cdot,\cdot\rangle_A: \mathcal{H}\times \mathcal{H} \to \math…

math.FA2024

Sharper bounds for the numerical radius of $n \times n$ operator matrices II

Pintu Bhunia

Let $A = [A_{ij}]$ be an $n \times n$ operator matrix where each $A_{ij}$ is a bounded linear operator on a complex Hilbert space $H$ . With other numerical radius bounds via…

math.FA2024

Schatten $p$ -norm and numerical radius inequalities with applications

Pintu Bhunia, Satyajit Sahoo

We develop a new refinement of the Kato's inequality and using this refinement we obtain several upper bounds for the numerical radius of a bounded linear operator as well as the p…

math.FA2024★ 1 cited

Norm Inequalities for Hilbert space operators with Applications

Pintu Bhunia

Several unitarily invariant norm inequalities and numerical radius inequalities for Hilbert space operators are studied. We investigate some necessary and sufficient conditions for…

math.FA2023★ 5 cited

Refinements of generalized Euclidean operator radius inequalities of 2-tuple operators

Suvendu Jana, Pintu Bhunia, Kallol Paul

We develop several upper and lower bounds for the $A$ -Euclidean operator radius of $2$ -tuple operators admitting $A$ -adjoint, and show that they refine the earlier related bounds.…

math.FA2023

Estimations of Euclidean operator radius

Pintu Bhunia, Suvendu Jana, Kallol Paul

We develop several Euclidean operator radius bounds for the product of two $d$ -tuple operators using positivity criteria of a $2 \times 2$ block matrix whose entries are $d$ -tuple o…

math.FA2023

Euclidean operator radius and numerical radius inequalities

Suvendu Jana, Pintu Bhunia, Kallol Paul

Let $T$ be a bounded linear operator on a complex Hilbert space $H .$ We obtain various lower and upper bounds for the numerical radius of $T$ by developing the Euclidean…

math.FA2023★ 17 cited

Berezin number and Berezin norm inequalities for operator matrices

Pintu Bhunia, Anirban Sen, Somdatta Barik +1

We establish new upper bounds for Berezin number and Berezin norm of operator matrices, which are refinements of the existing bounds. Among other bounds, we prove that if $A=[A_{ij…

math.FA2023★ 1 cited

Power numerical radius inequalities from an extension of Buzano's inequality

Pintu Bhunia

Several numerical radius inequalities are studied by developing an extension of the Buzano's inequality. It is shown that if $T$ is a bounded linear operator on a complex Hilbert s…

math.FA2023

Euclidean operator radius inequalities of $d$ -tuple operators and operator matrices

Suvendu Jana, Pintu Bhunia, Kallol Paul

In this paper, we develop several Euclidean operator radius inequalities of $d$ -tuple operators, as well as the sum and the product of $d$ -tuple operators. Also, we obtain a power…

math.FA2023

Sharper bounds for the numerical radius of $ \lowercase{n}\times \lowercase{n}$ operator matrices

Pintu Bhunia

Let $A = [A_{ij}]$ be an $n \times n$ operator matrix, where each $A_{ij}$ is a bounded linear operator on a complex Hilbert space. Among other numerical r…

math.FA2023★ 1 cited

Improved bounds for the numerical radius via polar decomposition of operators

Pintu Bhunia

Using the polar decomposition of a bounded linear operator $A$ defined on a complex Hilbert space, we obtain several numerical radius inequalities of the operator $A$ , which genera…

math.FA2023★ 1 cited

Numerical radius inequalities of bounded linear operators and $(α, β)$ -normal operators

Pintu Bhunia

We obtain various upper bounds for the numerical radius $w (T)$ of a bounded linear operator $T$ defined on a complex Hilbert space $H$ , by developing the upper bounds for…

math.FA2023★ 8 cited

Numerical radius inequalities and estimation of zeros of polynomials

Suvendu Jana, Pintu Bhunia, Kallol Paul

Let $A$ be a bounded linear operator defined on a complex Hilbert space and let $∣ A ∣ = (A^{*} A)^{1/2}$ be the positive square root of $A$ . Among other refinements of the well known num…

Convexity of Berezin Range and Berezin Radius Inequalities via a class of Seminorm

Refined numerical radius estimates and Euclidean operator radius

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

A new seminorm of n-tuple operators and its applications

A new norm on the space of reproducing kernel Hilbert space operators and Berezin number inequalities

Strengthening of spectral radius, numerical radius, and Berezin radius inequalities

A Family of Semi-norms in C∗-algebras

Numerical radius and ℓp​ operator norm of Kronecker products and Schur powers: inequalities and equalities

Inequalities for linear functionals and numerical radii on C∗-algebras

Numerical Radius Inequalities via Orlicz function

A-Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators

Sharper bounds for the numerical radius of n×n operator matrices II

Schatten p-norm and numerical radius inequalities with applications

Norm Inequalities for Hilbert space operators with Applications

Refinements of generalized Euclidean operator radius inequalities of 2-tuple operators

Estimations of Euclidean operator radius

Euclidean operator radius and numerical radius inequalities

Berezin number and Berezin norm inequalities for operator matrices

Power numerical radius inequalities from an extension of Buzano's inequality

Euclidean operator radius inequalities of d-tuple operators and operator matrices

Sharper bounds for the numerical radius of $ \lowercase{n}\times \lowercase{n}$ operator matrices

Improved bounds for the numerical radius via polar decomposition of operators

Numerical radius inequalities of bounded linear operators and (α,β)-normal operators

Numerical radius inequalities and estimation of zeros of polynomials

A new seminorm of $n$ -tuple operators and its applications

A Family of Semi-norms in $C^{*}$ -algebras

Numerical radius and $ℓ_{p}$ operator norm of Kronecker products and Schur powers: inequalities and equalities

Inequalities for linear functionals and numerical radii on $C^{*}$ -algebras

$A$ -Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators

Sharper bounds for the numerical radius of $n \times n$ operator matrices II

Schatten $p$ -norm and numerical radius inequalities with applications

Euclidean operator radius inequalities of $d$ -tuple operators and operator matrices

Numerical radius inequalities of bounded linear operators and $(α, β)$ -normal operators