The Spectrum and the Numerical Range of the Product of Finite Numbers of Automorphic Composition Operators on Hardy Space 2

Authors

  • Eiman H. Abood Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Samira N. Kadhim Department of Mathematics, College of Science for women, University of Baghdad, Baghdad, Iraq
  • Sarah M. Khalil Department of Mathematics, College of Science for women, University of Baghdad, Baghdad, Iraq

Keywords:

Composition operators, Conformal automorphisms, Hardy spaces

Abstract

Throughout this paper we study the properties of the composition operator
C
p1  o
p2  o…o
pn  induced by the composition of finite numbers of special
automorphisms of U,
pi  (z)  i
i
p z
1 p z


Such that pi  U, i  1, 2, …, n, and discuss the relation between the product of
finite numbers of automorphic composition operators on Hardy space H2 and some
classes of operators.

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Published

2023-02-22

Issue

Section

Mathematics

How to Cite

The Spectrum and the Numerical Range of the Product of Finite Numbers of Automorphic Composition Operators on Hardy Space 2. (2023). Iraqi Journal of Science, 56(4A), 2966-2971. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/9534

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