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weakly compact weighted composition operators on pointed lipschitz spaces
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نویسنده
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barzegari rezvan ,alimohammadi davood
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منبع
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caspian journal of mathematical sciences - 2024 - دوره : 13 - شماره : 1 - صفحه:49 -61
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چکیده
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let (x,d)be a pointed compact metric space with the base point x_{0} and let lip((x,d),x_{0}) (lip((x,d),x_{0})) denote the pointed (little) lipschitz space on (x,d). in this paper, we prove that every weakly compact composition operator u c_{varphi}on lip((x,d), x_{0}) is compact provided that lip((x,d),x_{0}) has the uniform separation property, {varphi} is a base point preserving lipschitz self-map of x and u in lip(x,d) with u(x) neq0 for all x in x backslash {x_{0}}.
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کلیدواژه
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compact operator ,lipschitz space ,weakly compact operator ,weighted composition operator
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آدرس
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arak university, faculty of science, department of mathematics, iran, arak university, faculty of science, department of mathematics, iran
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پست الکترونیکی
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d-alimohammadi@araku.ac.ir
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Authors
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