کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615654 | 1339324 | 2015 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weak topologies for modules over rings of bounded random variables
ترجمه فارسی عنوان
توپولوژی ضعیف برای ماژول های بیش از حلقه متغیرهای تصادفی محدود
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In order to establish a functional analytic basis for representation theorems for conditional and multi-period risk measures, we study locally convex modules over the ring λ=Lâ(G). Their topology is determined by λ-seminorms. As expected, central mathematical tools of the analysis are Hahn-Banach type and separation theorems which however have to be treated more carefully in the module case. Once a dual λ-module is introduced, one can establish a module version of the Bipolar theorem. We also prove the Krein-Å mulian as well as the Alaoglu-Bourbaki theorem for λ-modules. For Banach λ-modules their reflexivity is characterized by a compactness criterium in a (very) weak-* topology.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 2, 15 January 2015, Pages 1334-1357
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 2, 15 January 2015, Pages 1334-1357
نویسندگان
Karl-Theodor Eisele, Sonia Taieb,