نتایج جستجو برای: pettis integral

تعداد نتایج: 115289  

Journal: :Annals of Functional Analysis 2023

Abstract In this note, we deduce a strengthening of the Orlicz–Pettis theorem from Itô–Nisio theorem. The argument shows that given any series in Banach space which is not summable (or more generally unconditionally summable), can construct (coarse-grained) subseries with property that—under some appropriate notion “almost all”—almost all further thereof fail to be weakly summable. Moreover, by...

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2017
Saïda Abbas Mouffak Benchohra Yong Zhou Ahmed Alsaedi

*Correspondence: [email protected] 3Faculty of Mathematics and Computational Science, Xiangtan University, Hunan, 411105, P.R. China 4Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, by applying ...

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