عنوان
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Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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completely preserver problem, standard operator algebra, fixed point.
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چکیده
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Let A and B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism. B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving the fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving the kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism.
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پژوهشگران
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علی تقوی (نفر سوم)، ایلناز شریفی (نفر دوم)، روجا حسین زاده (نفر اول)
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