کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898490 1631397 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strong ball proximinality and continuity of metric projection in L1-predual spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Strong ball proximinality and continuity of metric projection in L1-predual spaces
چکیده انگلیسی
In this article, we discuss the strong proximinality of the closed unit ball of closed linear subspaces of L1-predual spaces. We prove that M-ideals in L1-predual spaces are strongly ball proximinal. We characterize finite co-dimensional strongly ball proximinal closed linear subspaces of C(K) spaces and prove that they are precisely the finite co-dimensional strongly proximinal closed linear subspaces of C(K). For a Choquet simplex K, we give a sufficient condition for the strong ball proximinality of finite co-dimensional closed linear subspaces of A(K) spaces. We prove that metric projection onto a finite co-dimensional strongly proximinal closed linear subspace of an L1-predual space is Hausdorff metric continuous. Moreover, we prove that the metric projection onto the closed unit ball of an M-ideal in an L1-predual space is Hausdorff metric continuous.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 213, January 2017, Pages 120-135
نویسندگان
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