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Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 3)Publication Date: 2020-07-01
Authors : Reyhaneh Bagheri; Davood Alimohammadi;
Page : 33-70
Keywords : Compact operator; Extended Lipschitz algebra; Lipschitz mapping; Supercontactive mapping; Weighted composition operator;
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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.
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Last modified: 2021-11-03 14:28:17