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Characterizations of invertible, unitary, and normal composition operators

Published online by Cambridge University Press:  17 April 2009

R.K. Singh  and
Ashok Kumar
R.K. Singh
Affiliation:
Department of Mathematics, University of Jammu, Jammu, Tawi, India.
Ashok Kumar
Affiliation:
Department of Mathematics, University of Jammu, Jammu, Tawi, India.
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Abstract

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Let Cφ be a composition operator on L2(λ), where λ is a σ-finite measure on a set X. Conditions under which Cφ is invertible, unitary, and normal are investigated in this paper.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 1 , August 1978 , pp. 81 - 95
Copyright
Copyright © Australian Mathematical Society 1979

References

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