عنوان
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A note on zero Lie product determined nest algebras as Banach algebras
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Zero Lie product determined Banach algebra, nest algebra, weakly amenable Banach algebra.
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چکیده
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A Banach algebra A is said to be zero Lie product determined Banach algebra if for every continuous bilinear functional φ : A × A --> C the following holds: if φ(a; b) = 0 whenever ab = ba, then there exists some τ 2 A∗ such that φ(a; b) = τ(ab − ba) for all a; b 2 A. We show that any finite nest algebra over a complex Hilbert space is a zero Lie product determined Banach algebra
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پژوهشگران
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وانیا خداکرمی (نفر سوم)، کمال فلاحی (نفر دوم)، هوگر قهرمانی (نفر اول)
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