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quotient banach lattices under unbounded norm topology
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نویسنده
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hasanzadeh leila ,ranjbari asghar
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منبع
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sahand communications in mathematical analysis - 2024 - دوره : 21 - شماره : 3 - صفحه:361 -370
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چکیده
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In this paper, we verify some extra properties in quotient banach lattices. especially, we characterize the zero neighborhoods under unbounded norm topology (un-topology) in quotient banach lattices. we verify some types of convergence in a quotient banach lattice. also, we show that if a banach lattice is atomic, then the quotient banach lattice so is. finally, we show that the quotient preserves schur and banach-saks properties.
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کلیدواژه
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quotient banach lattice ,un-topology ,atom
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آدرس
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university of tabriz, faculty of mathematics, statistics and computer science, department of pure mathematics, iran, university of tabriz, faculty of mathematics, department of pure mathematics, iran
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پست الکترونیکی
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ranjbari@tabrizu.ac.ir
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Authors
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