q-Berezin Range of Operators in Hardy Space
Abstract
This paper investigates the concept of the q-Berezin range and q-Berezin number of bounded linear operators acting on Hardy space. We obtain the q-Berezin range of some classes of operators on Hardy space. In addition, the convexity of the q-Berezin range is explored for finite-rank, diagonal, multiplication, weighted shift, and certain composition operators.
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