کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624045 1339530 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relatively weakly open subsets of the unit ball in functions spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Relatively weakly open subsets of the unit ball in functions spaces
چکیده انگلیسی

For an infinite Hausdorff compact set K and for any Banach space X we show that every nonempty weak open subset relative to the unit ball of the space of X-valued functions that are continuous when X is equipped with the weak (respectively norm, weak-∗) topology has diameter 2. As consequence, we improve known results about nonexistence of denting points in these spaces. Also we characterize when every nonempty weak open subset relative to the unit ball has diameter 2, for the spaces of Bochner integrable and essentially bounded measurable X-valued functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 315, Issue 2, 15 March 2006, Pages 544-554