عنوان
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ADDITIVE MAPS PRESERVING ELEMENTS ANNIHILATED BY THE POLYNOMIALS XY -Y X* AND XY + Y X*
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نوع پژوهش
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مقاله ارائه شده
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کلیدواژهها
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Hilbert space, additive map, Zero of polynomials.
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چکیده
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Let H be a complex Hilbert space and B(H) denotes the algebra of all bounded linear operators on H. Suppose that : B(H) ! B(H) is an additive surjective map. We prove that if satis es (A)(P) = (P)(A) if and only if AP = PA for 2 f1;1g and for all A and idempotent P in B(H), then is a *-automorphism.
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پژوهشگران
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فرزانه کولیوند (نفر دوم)، علی تقوی (نفر اول)
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