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ε-orthogonality preserving pairs of mappings on Hilbert C*-modules
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نویسنده
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sahleh a. ,olyani nezhad f.
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منبع
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journal of algebra and related topics - 2022 - دوره : 10 - شماره : 2 - صفحه:51 -60
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چکیده
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Abstract. let a be a standard c-algebra. in this paper, we will study the continuity of -orthogonality preserving mappings between hilbert a-modules. moreover, we will show that a local mapping between hilbert a-modules is a-linear. furthermore, we will prove that for a pair of nonzero a-linear mappings t; s : e ! f, between hilbert a-modules, satisfying -orthogonality preserving property, there exists 2 c, kht(x); s(y)i hx; yik ktkkskkxkkyk; x; y 2 e: our result
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کلیدواژه
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ε-orthogonality preserving mappings local mappings Hilbert C*-modules
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آدرس
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university of guilan, faculty of mathematical sciences, department of mathematic, Iran, university of guilan, faculty of mathematical sciences, department of pure mathematics, iran
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Authors
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