9 papers
Convexity of Berezin Range and Berezin Radius Inequalities via a class of Seminorm
P. Hiran Das, Athul Augustine, Pintu Bhunia +1
Let denote the -algebra of all bounded linear operators acting on a reproducing kernel Hilbert space In this paper, we introduce a new fami…
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 on a complex Hilbert space, which refine the existing ones. In particular, if …
Numerical radius and operator norm of Kronecker products and Schur powers: inequalities and equalities
Pintu Bhunia, Sujit Sakharam Damase, Apoorva Khare
Suppose is a complex matrix and is a bounded linear operator on a complex Hilbert space $\mat…
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 -Berezin norm on the space of all bounded linear operators defined on a reproducing kernel Hilbert spa…
A new seminorm of -tuple operators and its applications
Pintu Bhunia, Messaoud Guesba
We introduce a new seminorm of -tuple operators, which generalizes the -Euclidean operator radius of -tuple bounded linear operators on a complex Hilbert space. We introdu…
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 Berezin norm, on the algebra of all bounded linear operators defined on a reproducing kernel Hilbert space as…