Product of Composition and Multiplication Operator

Gardia, Sharata Charan (2015) Product of Composition and Multiplication Operator. MSc thesis.



Operators are nothing but the mapping from a topological space to a topological space. When it satisfies the criterion for the linearity, it becomes linear. So, composition and multiplication operators are certain type of operators and are bounded on a space called as Orlicz space which is the subject of consideration here. The composition operator CT and the multiplication operator Mu together multiplied to give a new operator named as Weighted composition operator Wu;T = CTMu given by f 7! u T:f T, on the Orlicz space. The thesis discusses various properties of the operator Wu;T starting with basic necessary preliminaries. Measurable set and functions are the necessary part of defining any domain. The property especially boundedness of the weighted composition operators are verified.

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Orlicz space,measurable space,measurable function,composition operator,multiplication operator,weighted composition operator,convex function,orlicz function,measurable transformaion,non-singular measurable transformation,Radon-NikodynTheorem
Subjects:Mathematics and Statistics > Topology
Divisions: Sciences > Department of Mathematics
ID Code:6894
Deposited By:Mr. Sanat Kumar Behera
Deposited On:08 Mar 2016 15:09
Last Modified:08 Mar 2016 15:09
Supervisor(s):Pradhan, S

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