On weak convergence implying strong convergence in L1-spaces
نویسندگان
چکیده
منابع مشابه
From weak to strong convergence in L1-spaces via K-convergence
A generalized version of Komll os' theorem 6], combined with a useful property of denting points in the style of 17, 22], gives a new, very eecient proof of Visintin's theorem and its generalizations 24, 2, 10, 21, 7], on equivalence of weak and strong convergence in L 1-spaces under denting point conditions.
متن کاملStrong convergence of modified noor iteration in CAT(0) spaces
We prove a strong convergence theorem for the modified Noor iterations in the framework of CAT(0) spaces. Our results extend and improve the corresponding results of X. Qin, Y. Su and M. Shang, T. H. Kim and H. K. Xu and S. Saejung and some others.
متن کاملStrong $I^K$-Convergence in Probabilistic Metric Spaces
In this paper we introduce strong $I^K$-convergence of functions which is common generalization of strong $I^*$-convergence of functions in probabilistic metric spaces. We also define and study strong $I^{K}$-limit points of functions in same space.
متن کاملOn Strong Forms of Weak Convergence
We discuss three forms of convergence in distribution which are stronger than the normal weak convergence. They have the advantage that they are non-topological in nature and are inherited by discontinuous functions of the original random variables—clearly an improvement on ‘normal’ weak convergence. We give necessary and sufficient conditions for the three types of convergence and go on to giv...
متن کاملOn statistical type convergence in uniform spaces
The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1986
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700003932