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L-limited and Almost L-limited Sets in Dual Banach Lattices
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نویسنده
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ardakani h. ,modarres mosadegh s. m. s. ,salimi m. ,moshtaghioun s. m.
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منبع
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journal of mathematical extension - 2018 - دوره : 12 - شماره : 3 - صفحه:147 -163
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چکیده
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Following the concept of l-limited sets in dual banach spaces introduced by salimi and moshtaghioun, we introduce the concept of almost l-limited sets in dual banach lattices and then by a class of disjoint limited completely continuous operators on banach lattices, we characterize banach lattices in which almost l-limited subsets of their dual, coincide with l–limited sets.
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کلیدواژه
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L-limited set ,limited completely continuous operator ,Gelfand–Phillips property
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آدرس
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yazd university, department of mathematics, iran. payame noor university, department of mathematics, iran, yazd university, department of mathematics, iran, farhangian university, department of mathematics, Iran, yazd university, department of mathematics, iran
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پست الکترونیکی
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moshtagh@yazd.ac.ir
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Authors
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