Weighted composition operators between Lipschitz algebras of complex-valued bounded functions
عنوان مقاله: Weighted composition operators between Lipschitz algebras of complex-valued bounded functions
شناسه ملی مقاله: JR_CJMS-9-1_007
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_CJMS-9-1_007
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, Faculty of Science, Arak University
- - - Department of Mathematics, Faculty of Science, Arak University
خلاصه مقاله:
- - - Department of Mathematics, Faculty of Science, Arak University
- - - Department of Mathematics, Faculty of Science, Arak University
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.
کلمات کلیدی: Compact linear operator, Lipschitz algebra, Pointed metric space, Weighted composition operator
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1153908/