کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607719 1337880 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the stability index for weighted composition operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the stability index for weighted composition operators
چکیده انگلیسی

Let ϵ>0ϵ>0. A continuous linear operator T:C(X)⟶C(Y)T:C(X)⟶C(Y) is said to ϵϵ-preserve disjointness   if ‖(Tf)(Tg)‖∞≤ϵ‖(Tf)(Tg)‖∞≤ϵ, whenever f,g∈C(X)f,g∈C(X) satisfy ‖f‖∞=‖g‖∞=1‖f‖∞=‖g‖∞=1 and fg≡0fg≡0. In this paper we continue our study of the minimal interval where the possible maximal distance from a norm one operator which ϵϵ-preserves disjointness to the set of weighted composition maps may lie. We provide sharp bounds for both the finite and the infinite case, which turn out to be completely different.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 162, Issue 12, December 2010, Pages 2136–2148
نویسندگان
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