Title of article :
Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces
Author/Authors :
Bagheri ، Reyhaneh Department of Mathematics - Faculty of Science - Arak University , Alimohammadi ، Davood Department of Mathematics - Faculty of Science - Arak University
Abstract :
In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.
Keywords :
Compact operator , Extended Lipschitz algebra , Lipschitz mapping , Supercontactive mapping , Weighted composition operator
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
