Isometric Composite Integral Operators
Anupama Gupta *
Govt. College for Women, Gandhi Nagar, Jammu, J and K, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Isometry, unitary, convolution kernel, expectation operator, Radon-nikodym derivative.