%0 Journal Article %A Mei Li and Fahui Zhai %D 2016 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 115, 2016 %T Necessary and Sufficient Condition for the Quaternion Vector Measure %U https://publications.waset.org/pdf/10006038 %V 115 %X In this paper, the definitions of the quaternion measure and the quaternion vector measure are introduced. The relation between the quaternion measure and the complex vector measure as well as the relation between the quaternion linear functional and the complex linear functional are discussed respectively. By using these relations, the necessary and sufficient condition to determine the quaternion vector measure is given. %P 362 - 365