Mei Li and Fahui Zhai Necessary and Sufficient Condition for the Quaternion Vector Measure
362 - 365
2016
10
7
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/10006038
http://waset.org/publications/115
World Academy of Science, Engineering and Technology
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.
International Science Index 115, 2016