کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418613 1339343 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak sequential convergence in L1(μ,X) and an exact version of Fatouʼs lemma
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Weak sequential convergence in L1(μ,X) and an exact version of Fatouʼs lemma
چکیده انگلیسی

The class of nonatomic finite measure spaces with the saturation property, as developed in Maharam (1942) and Hoover-Keisler (1984), is characterized by the Fatou (and Lebesgue) property of a well-dominated sequence of multifunctions taking values in a Banach space. With multifunctions reduced to functions, this Fatou characterization also extends to a variant of the closure property found in optimal control theory. The results are developed through a considered overview of the relevant literature on the exact and approximate Fatou lemma phrased in terms of Bochner integration.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 412, Issue 1, 1 April 2014, Pages 554-563
نویسندگان
, ,