dc.contributor.author | Mengestie, Tesfa Yigrem | |
dc.date.accessioned | 2020-03-31T08:30:21Z | |
dc.date.available | 2020-03-31T08:30:21Z | |
dc.date.created | 2020-01-20T16:49:03Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Mengestie, T. (2020). Resolvent growth condition for composition operators on the Fock space. Annals of Functional Analysis. | en_US |
dc.identifier.issn | 2008-8752 | |
dc.identifier.uri | https://hdl.handle.net/11250/2649578 | |
dc.description.abstract | For each analytic map ψ on the complex plane C, we study the Ritt’s resolvent growth condition for the composition operator Cψ:f→f∘ψ on the Fock space F2. We show that Cψ satisfies such a condition if and only if it is either compact or reduces to the identity operator. As a consequence, it is shown that the Ritt’s resolvent condition and the unconditional Ritt’s condition for Cψ are equivalent. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Birkhäuser | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | Fock space | en_US |
dc.subject | composition operators | en_US |
dc.subject | Ritt’s resolvent condition | en_US |
dc.subject | spectrum | en_US |
dc.subject | bounded | en_US |
dc.subject | compact | en_US |
dc.subject | unconditional Ritt’s condition | en_US |
dc.title | Resolvent growth condition for the composition operator on the Fock space | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © The Author(s) 2020 | en_US |
dc.source.journal | Annals of Functional Analysis | en_US |
dc.identifier.doi | 10.1007/s43034-020-00059-9 | |
dc.identifier.cristin | 1778346 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |