Two kinds of convergent sequences on the real vector space m of all bounded sequences in a real normed space X were discussed in this paper, and we prove that they are equivalent, which improved the results of [1].
基金Foundation item： the National Natural Science Foundation of China （No. 10871101） the Research Fund for the Doctoral Program of Higher Education （No. 20060055010）Acknowledgments The author would like to thank Professor Ding Guanggui for his encouragement and advice.
文摘Two kinds of convergent sequences on the real vector space m of all bounded sequences in a real normed space X were discussed in this paper, and we prove that they are equivalent, which improved the results of [1].
