World Academy of Science, Engineering and Technology International Journal of Mathematical and Computational Sciences Vol:2, No:3, 2008
Laplace Transformation on Ordered Linear Space of Generalized Functions K. V. Geetha and N. R. Mangalambal
Abstract—Aim. We have introduced the notion of order to multi- Let La,b denote the linear space of all complex valued normed spaces and countable union spaces and their duals. The smooth functions defined on R. Let topology of bounded convergence is assigned to the dual spaces. The aim of this paper is to develop the theory of ordered topological linear L (t)=eat, 0 ≤ t<∞ a,b spaces La,b, L (w, z), the dual spaces of ordered multinormed spaces = ebt, −∞