کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661235 1344416 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Zero-separating algebras of continuous functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Zero-separating algebras of continuous functions
چکیده انگلیسی

Let A be a lattice-ordered algebra endowed with a topology compatible with the structure of algebra. We provide internal conditions for A to be isomorphic as lattice-ordered algebras and homeomorphic to Ck(X), the lattice-ordered algebra C(X) of real continuous functions on a completely regular and Hausdorff topological space X, endowed with the topology of uniform convergence on compact sets. As a previous step, we determine this topology among the locally m-convex topologies on C(X) with the property that each order closed interval is bounded.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 10, 15 May 2007, Pages 2135-2141