International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 1, Pages 31-35
doi:10.1155/S0161171200001721
On the extension of positive linear functionals
Ergashboy Muhamadiev1
and Adel T. Diab2
1Mathematical and Informational Department, Khujand's Scientific Center, Academy of Sciences, P.O. 3 Box 113, Khujand, Tajikistan
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
Abstract
A necessary and sufficient condition to extend a continuous linear real functionals which is positive with respect to a semi-group defined on a subspace of a linear space is discussed in this paper. The case of a closed subspace of a Banach space is also discussed.