64 citations · 577 across the 60 of their papers we have counts for
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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 space…
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…
Strengthening of spectral radius, numerical radius, and Berezin radius inequalities
Pintu Bhunia
Suppose are arbitrary complex Hilbert spaces, and is an operator matrix with $A_{ij}\in \mathca…
A Family of Semi-norms in -algebras
Athul Augustine, Pintu Bhunia, P. Shankar
We introduce a new family of non-negative real-valued functions on a -algebra , i.e., for $$\|a\|_{σ_μ}= \text{sup}\left\lbrace \sqrt{|f(a)|^2 σ_…
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…