Volume 23, Issue 2, May 2016, Pages 303–309
Anupama Gupta1
1 Department of Mathematics, Government College For Women, Gandhi Nagar, Jammu, J&K, India
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper composite convolution operators with weight are introduced on Hilbert space H. Some basic properties for composite convolution operators with weight have been investigated. The characterization of normal, Hermitian and idempotent composite convolution operators with weight are explored. The commutant of composite convolution operators with weight has also been characterized.
Author Keywords: Composite convolution operator with weight, Radon-Nikodym derivative, Expectation operator, idempotent, projection operator.
Anupama Gupta1
1 Department of Mathematics, Government College For Women, Gandhi Nagar, Jammu, J&K, India
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper composite convolution operators with weight are introduced on Hilbert space H. Some basic properties for composite convolution operators with weight have been investigated. The characterization of normal, Hermitian and idempotent composite convolution operators with weight are explored. The commutant of composite convolution operators with weight has also been characterized.
Author Keywords: Composite convolution operator with weight, Radon-Nikodym derivative, Expectation operator, idempotent, projection operator.
How to Cite this Article
Anupama Gupta, “On Composite Convolution Operators with Weight,” International Journal of Innovation and Scientific Research, vol. 23, no. 2, pp. 303–309, May 2016.
