 Since the canonical injection formula_259 is a continuous injection whose image is dense in the codomain, the transpose formula_260 is a continuous injection.This transpose thus allows us to identify formula_261 with a certain vector subspace of the space of distributions.This transpose map is not necessarily a TVS-embedding so that topology that this map transfers to the image formula_262 is finer than the subspace topology that this space inherits from formula_46.