Spectra of generalized composition operators on weighted Hardy space

It was shown by Gunatillake[3] that the spectrum of weighted composition operator W θ,ɸ on weighted Hardy space H 2(β) is contained in the set {0, θ(a), θ(a)ɸ′ (a), θ(a)(ɸ′ (a))2, …..}. Using the idea, In this paper we have characterized the adjoint of generalized composition operators, generalized...

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Bibliographic Details
Main Authors: Gandhi, Rohit, Sharma, Sunil Kumar, Komal, B. S.
Format: Conference Proceeding
Language:English
Subjects:
Composition
Operators (mathematics)
Online Access:Get full text
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Summary:It was shown by Gunatillake[3] that the spectrum of weighted composition operator W θ,ɸ on weighted Hardy space H 2(β) is contained in the set {0, θ(a), θ(a)ɸ′ (a), θ(a)(ɸ′ (a))2, …..}. Using the idea, In this paper we have characterized the adjoint of generalized composition operators, generalized multiplication operators and generalized weighted composition operators on the derivative of evaluation kernel which can be helpful in finding the spectrum of these operators.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4990348