عنوان
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Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
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نوع پژوهش
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مقاله ارائهشده
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کلیدواژهها
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Essential spectral radius, Lipschitz algebra, quasicompact endomorphism, Riesz endomorphism
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چکیده
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We first show that every unital endomorphism of real Lipschitz algebras of complex-valued functions on compact metric spaces with Lipschitz involutions is a composition operator. Next, we establish a formula for essential spectral radius of a unital endomorphism $ T $ of these algebras under a condition which is equivalent to the quasicompactness of the endomorphism $ T $. We also conclude a necessary and sufficient condition for a unital endomorphism of these algebras to be Riesz.d
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پژوهشگران
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ملیحه میقانی (نفر دوم)، داود علیمحمدی (نفر اول)
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