مشخصات پژوهش

عنوان	Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Complexi cation, Lipschitz algebra, Lipschitz involution,
چکیده	‎We first show that every unital endomorphism of real Lipschitz algebras of compl‎ ‎ex-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. ‎Moreover‎, ‎we get a relation for the spectrum and the set of eigenvalues of quasicompact and Riesz endomorphism of these algebras‎. %Finally, ‎we show that the class of quasicompact (Riesz‎, ‎respectively) unital endomorphisms of these algebras is larger that the class of quasicompact (Riesz‎, ‎respectively) unital endomorphisms of complex Lipschitz algebras as real Banach algebras‎.d
پژوهشگران	ملیحه میقانی (نفر اول)، داود علیمحمدی (نفر دوم)