On Vitali-Hahn-Saks Theorem
WU Jian-rong · Journal of Suzhou Institute of Urban Construction and Environmental Protection · 2000
In this paper, the necessary and sufficient conditions under which the Vitali-Hahn Saks Theorem of vector measures has the form of Radon-Nikodym derivatives are established, that is, the dimension of the vector space is finite; sequentially, an error in existing literature is corrected. Meanwhile, the Vitali-Hahn-Saks Theorem is generalized to be set-valued measures.