The spectrum and the numerical range of the product of finite numbers of automorphic composition operators on hardy space H2

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 o...

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Bibliographic Details
Published in:Iraqi journal of science 2015, Vol.56 (4A), p.2966-2971
Main Authors: Abbud, Iman Hasan, Khalil, Sarah Mahmud, Kazim, Samirah Naji
Format: Article
Language:ara ; eng
Subjects:
Automorphisms
Composition operators
Hardy spaces
Numerical range
Online Access:Get full text
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Summary: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.
ISSN:0067-2904
2312-1637