Weighted composition operators between Lipschitz algebras of complex-valued bounded functions

‎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

Authors

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Department of Mathematics, Faculty of Science, Arak University

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Department of Mathematics, Faculty of Science, Arak University

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https://civilica.com/doc/1153908

شناسه ملی سند علمی:

JR_CJMS-9-1_007

تاریخ نمایه سازی: 27 بهمن 1399

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Paper count: 5,271

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