کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516896 1633121 2005 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomial topologies on Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Polynomial topologies on Banach spaces
چکیده انگلیسی
On every real Banach space X we introduce a locally convex topology τP, canonically associated to the weak-polynomial topology wP. It is proved that τP is the finest locally convex topology on X which is coarser than wP. Furthermore, the convergence of sequences is considered, and sufficient conditions on X are obtained under which the convergent sequences for wP and for τP either coincide with the weakly convergent sequences (when X has the Dunford-Pettis property) or coincide with the norm-convergent sequences (when X has nontrivial type).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 5–6, 1 December 2005, Pages 854-867
نویسندگان
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