Convexity of the Berezin range

نویسندگان

چکیده

This paper discusses the convexity of range Berezin transform. For a bounded operator T acting on reproducing kernel Hilbert space H (on set X), this is B(T):={?Tkˆx,kˆx?H:x?X}, where kˆx normalized for at x?X. Primarily, we focus characterizing class composition operators Hardy unit disk.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2022

ISSN: ['1873-1856', '0024-3795']

DOI: https://doi.org/10.1016/j.laa.2022.04.003