Cowen, Carl C.Felder, Christopher2024-05-072024-05-072022Cowen CC, Felder C. Convexity of the Berezin range. Linear Algebra and its Applications. 2022;647:47-63. doi:10.1016/j.laa.2022.04.003https://hdl.handle.net/1805/40521This paper discusses the convexity of the range of the Berezin transform. For a bounded operator T acting on a reproducing kernel Hilbert space H (on a set X), this is the set B(T):={〈Tkˆx,kˆx〉H:x∈X}, where kˆx is the normalized reproducing kernel for H at x∈X. Primarily, we focus on characterizing convexity of this range for a class of composition operators acting on the Hardy space of the unit disk.en-USPublisher PolicyBerezin rangeBerezin setBerezin transformComposition operatorConvexityArticle