Numerical ranges of weighted composition operators

Autor:	Wayne Smith, Mirjana Jovovic, Gajath Gunatillake
Rok vydání:	2014
Předmět:	Operator (computer programming) Composition operator Applied Mathematics Mathematical analysis Zero (complex analysis) Function (mathematics) Operator theory Numerical range Rotation (mathematics) Analysis Mathematics Quasinormal operator
Zdroj:	Journal of Mathematical Analysis and Applications. 413:458-475
ISSN:	0022-247X
Popis:	The operator that takes the function f to ψ f ∘ φ is a weighted composition operator. We study numerical ranges of some classes of weighted composition operators on H 2 , the Hardy–Hilbert space of the unit disc. We consider the case where φ is a rotation of the unit disc and identify a class of convexoid operators. In the case of isometric weighted composition operators we give a complete classification of their numerical ranges. We also consider the inclusion of zero in the interior of the numerical range.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1ee1d1154e1e53936d8c8d77556ecd37 https://doi.org/10.1016/j.jmaa.2013.11.042 Zobrazit plný text záznamu Full Text from ScienceDirect