Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615848 | Journal of Mathematical Analysis and Applications | 2014 | 18 Pages |
Abstract
The operator that takes the function f to ψf∘φψf∘φ is a weighted composition operator. We study numerical ranges of some classes of weighted composition operators on H2H2, 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gajath Gunatillake, Mirjana Jovovic, Wayne Smith,