Inspired by the theory of financial markets with transaction costs, we study a concept of essential supremum in the framework where a random partial order in View the MathML source is lifted to the space View the MathML source of d-dimensional random variables. In contrast to the classical...

Inspired by the theory of financial markets with transaction costs, we study a concept of essential supremum in the framework where a random partial order in Rd is lifted to the space L0(Rd) of d-dimensional random variables. In contrast to the classical definition, we define the essential...