عنوان
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Linear Maps on *-Algebras Acting on Orthogonal Elements Like Derivations or Anti-Derivations
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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,algebra, derivation, orthogonality.
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چکیده
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Let U be a unital *-algebra and d : U --> U be a linear map behaving like a derivation or an anti-derivation at the following orthogonality conditions on elements of U: xy = 0, xy* = 0, xy = yx = 0 and xy* = y*x = 0. We characterize the map d when U is a zero product determined algebra. Special characterizations are obtained when our results are applied to properly infinite W*-algebras and unital simple C*-algebras with a non-trivial idempotent.
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پژوهشگران
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پاتریک پان (نفر دوم)، هوگر قهرمانی (نفر اول)
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