Title of article :
Weighted composition operators between Lipschitz algebras of complex-valued bounded functions
Author/Authors :
Alimohammadi ، Davood Department of Mathematics - Faculty of Science - Arak University , Daneshmand ، Safoura Department of Mathematics - Faculty of Science - Arak University
Abstract :
In this paper, we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces, not necessarily compact. We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators. We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.
Keywords :
Compact linear operator , Lipschitz algebra , Pointed metric space , Weighted composition operator
Journal title :
Caspian Journal of Mathematical Sciences
