Numerical ranges of weighted composition operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:413

Article

Gunatillake, Gajath¹  Jovovic, Mirjana²  Smith, Wayne² 

[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

[2] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

关键词: Weighted composition operator;    Numerical range;    Hardy space;   

DOI  :  10.1016/j.jmaa.2013.11.042

来源: Elsevier

【 摘 要 】

The operator that takes the function f to psi f o phi 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 phi 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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