کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659783 1344336 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characterizing filters by convergence (with respect to filters) in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Characterizing filters by convergence (with respect to filters) in Banach spaces
چکیده انگلیسی

Let X be a topological space and let F be a filter on N, recall that a sequence (xn)n∈N in X is said to be F-convergent to the point x∈X, if for each neighborhood U of x, {n∈N:xn∈U}∈F. By using F-convergence in ℓ1 and in Banach spaces, we characterize the P-filters, the P-filters+, the weak P-filters, the Q-filters, the Q-filters+, the weak Q-filters, the selective filters and the selective+ filters.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 4, 1 March 2012, Pages 1246-1257