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math.FA2024
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)=\…
math.FA2024
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}…
math.FA2023
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…