Convexity of the Berezin Range
| dc.contributor.author | Cowen, Carl C. | |
| dc.contributor.author | Felder, Christopher | |
| dc.contributor.department | Mathematical Sciences, School of Science | |
| dc.date.accessioned | 2024-05-07T12:35:06Z | |
| dc.date.available | 2024-05-07T12:35:06Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | This 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. | |
| dc.eprint.version | Author's manuscript | |
| dc.identifier.citation | Cowen CC, Felder C. Convexity of the Berezin range. Linear Algebra and its Applications. 2022;647:47-63. doi:10.1016/j.laa.2022.04.003 | |
| dc.identifier.uri | https://hdl.handle.net/1805/40521 | |
| dc.language.iso | en_US | |
| dc.publisher | Elsevier | |
| dc.relation.isversionof | 10.1016/j.laa.2022.04.003 | |
| dc.relation.journal | Linear Algebra and its Applications | |
| dc.rights | Publisher Policy | |
| dc.source | ArXiv | |
| dc.subject | Berezin range | |
| dc.subject | Berezin set | |
| dc.subject | Berezin transform | |
| dc.subject | Composition operator | |
| dc.subject | Convexity | |
| dc.title | Convexity of the Berezin Range | |
| dc.type | Article |