Numerical ranges of composition operators with elliptic automorphism symbols

In this paper, we investigate the numerical ranges of composition operators, whose symbols are elliptic automorphisms of finite orders on the Hilbert–Hardy space H 2 ( D ) . We give complete descriptions of the numerical ranges of composition operators induced by elliptic automorphisms of order 2 an...

Full description

Saved in:
Bibliographic Details
Published in:Banach journal of mathematical analysis 2023-07, Vol.17 (3), Article 39
Main Authors: Gao, Yong-Xin, Liang, Yuxia, Wang, Ya, Zhou, Ze-Hua
Format: Article
Language:English
Subjects:
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Original Paper
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we investigate the numerical ranges of composition operators, whose symbols are elliptic automorphisms of finite orders on the Hilbert–Hardy space H 2 ( D ) . We give complete descriptions of the numerical ranges of composition operators induced by elliptic automorphisms of order 2 and order 3.
ISSN:2662-2033
1735-8787
DOI:10.1007/s43037-023-00264-3