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We discuss a d-dimensional version (for ladlag optional processes) of a duality result by Meyer (1976) between {bounded} cadlag adapted processes and random measures. We show that it allows to establish, in a very natural way, a dual representation for the set of initial endowments which allow to super-hedge a given American claim in a continuous time model with proportional transaction costs. It generalizes a previous result of Bouchard and Temam (2005) who considered a discrete time setting. It also completes the very recent work of Denis, De Valliere and Kabanov (2008) who studied cadlag American claims and used a completely different approach.

Representation of continuous linear forms on the set of ladlag processes and the hedging of American claims under proportional costs