مشخصات پژوهش

عنوان	Quasicompact and Riesz Composition Operators on Banach Spaces of Lipschitz Functions on Pointed Metric Spaces
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Essential norm, Essential spectral radius, Pointed metric space, Quasicompact operator, Riesz operator
چکیده	In this paper, we study quasicompact and Riesz composition operators on Banach spaces of Lipschitz–Ho¨lder functions on pointed metric spaces. For a composition operator T on these spaces, we give an upper bound for reðTÞ, the essential spectral radius of T, and establish a formula for reðTÞ whenever metric spaces are compact. We also give some necessary and some sufficient conditions that a composition operator T on these spaces to be quasicompact or Riesz. Finally, we get a relation for the set of eigenvalues and the spectrum of a quasicompact and Riesz composition operator on these spaces.
پژوهشگران	ملیحه میقانی (نفر دوم)، داود علیمحمدی (نفر اول)