مشخصات پژوهش

عنوان	Strict topologies on measure spaces
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Locally convex space, strict topology, measure space, radon measure
چکیده	Let 𝑋 be a measurable space, let 𝔅 be a family of measurable subsets of it, and let  be a subspace of complex measures on 𝑋 that is also closed under restrictions of measures. In this paper we introduce the 𝔅-convergence topology 𝜏(, 𝔅) and the 𝔅- strict topology 𝛽(, 𝔅) on . Among other results, we find necessary and sufficient conditions for Hausdorff-ness and coincide-ness of these topologies. Applications to Lebesgue spaces, and also examples in Hausdorff topological spaces and locally compact groups are given.
پژوهشگران	حجت اله سامع (نفر اول)، ابراهیم فصاحت (نفر دوم)