Isometric Composite Integral Operators

Anupama Gupta

doi:10.9734/JSRR/2014/8237

Research Article Open access CC BY 3.0

Isometric Composite Integral Operators

Anupama Gupta

Journal of Scientific Research and Reports · pp. 1135–1143 · Published 20 Mar 2014

10.9734/JSRR/2014/8237

Abstract

In this paper composite integral operators are studied. The necessary and sufficient conditions for composite integral operator minus identity operator to be isometry and unitary are obtained. It is shown that the set of all composite integral operators is algebra. The condition for composite integral operator and Volterra operator to commute is explored.

Isometry unitary convolution kernel expectation operator Radon-nikodym derivative.

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Anupama Gupta (2014). Isometric Composite Integral Operators. Journal of Scientific Research and Reports , 1135–1143. https://doi.org/10.9734/JSRR/2014/8237

Affiliations

Anupama Gupta — Govt. College for Women, Gandhi Nagar, Jammu, J and K, India.

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