Numerical ranges of composition operators with elliptic automorphism symbols

Yong-Xin Gao,Yuxia Liang, Ya Wang,Ze-Hua Zhou

arXiv: Functional Analysis（2023）

引用 23|浏览3

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摘要

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.

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关键词

Composition operator, Numerical range, Elliptic automorphism

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