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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 famil…
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 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_…
Convexity of the Berezin range of finite rank operators
Athul Augustine, M. Garayev, P. Shankar
For a bounded linear operator acting on a reproducing kernel Hilbert space over a nonempty set , the Berezin range of is defined by \[ \mathrm{Ber}(T)=\…
On the convexity of the Berezin range of composition operators and related questions
Athul Augustine, M. Garayev, P. Shankar
The Berezin range of a bounded operator acting on a reproducing kernel Hilbert space is the set := $\{\langle T\hat{k}_{x},\hat{k}_{x} \rangle_{\mathcal{H}…
Composition operators, convexity of their Berezin range and related questions
Athul Augustine, M. Garayev, P. Shankar
The Berezin range of a bounded operator acting on a reproducing kernel Hilbert space is the set := $\{\langle T\hat{k}_{x},\hat{k}_{x} \rangle_{\m…
The structure of twisted power partial isometries
Athul Augustine, P. Shankar
Let and let be commuting unitaries on a Hilbert space . Suppose , . An n-tuple of…