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pro vyhledávání: '"random normed module"'
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Noting the important role the abstract $L^p$ space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a random normed module. First, we give a basic dual space representation t
Externí odkaz:
http://arxiv.org/abs/1511.00940
Autor:
Zhang, Xia1 zhangxia@tjpu.edu.cn, Liu, Ming1 liuming@tjpu.edu.cn
Publikováno v:
Acta Mathematica Sinica. Jul2017, Vol. 33 Issue 7, p899-910. 12p.
Autor:
Yang, Yujie1 yangyujie007@163.com
Publikováno v:
Journal of Inequalities & Applications. 9/18/2015, Vol. 2015 Issue 1, p1-8. 8p.
Publikováno v:
Acta Mathematica Sinica, English Series. 33:899-910
In this paper, we first study the mean ergodicity of random linear operators using some techniques of measure theory and L0-convex analysis. Then, based on this, we give a characterization for a complete random normed module to be mean ergodic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c08789082700f2e32f8884c20009196c
https://doi.org/10.1007/s10114-017-6444-4
https://doi.org/10.1007/s10114-017-6444-4
Autor:
WU MingZhi
Publikováno v:
SCIENTIA SINICA Mathematica. 42:897-903
Guo and Zhang lately introduced and investigated the Riemann integral for abstract-valued functions from a closed real interval to a complete random normed module, they proved that a continuous function whose range is almost surely bounded is Riemann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5df3457edc01c25eed35f7bc0778d8e
https://doi.org/10.1360/012012-267
https://doi.org/10.1360/012012-267
Autor:
Yujie Yang
Publikováno v:
Journal of Inequalities and Applications. 2015
Motivated by the recent results in random metric theory, we establish Clark’s fixed point theorem on complete random normed modules under two kinds of topologies. When the base space of the random normed module is trivial, our results automatically
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe1ce5f53903e258e5eee135888dcd75
https://doi.org/10.1186/s13660-015-0798-x
https://doi.org/10.1186/s13660-015-0798-x
Autor:
Xiaolin Zeng, Changying Ding
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-14 (2017)
Abstract Based on the analysis of stratification structure on random normed modules, we first present the notion of random smoothness in random normed modules. Then, we establish the relations between random smoothness and random strict convexity. Fi
Externí odkaz:
https://doaj.org/article/ac0480573e8b473480491f7236c4826d
Autor:
Xia ZHANG1,2
Publikováno v:
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Apr2012, Vol. 88 Issue 4, p53-58. 6p.
Autor:
Yuehan Tang1 tangjohn@126.com, Tiexin Guo2
Publikováno v:
Southeast Asian Bulletin of Mathematics. 2013, Vol. 37 Issue 6, p931-940. 10p.