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By this paper, we give an answer to the problem of definition of coherent risk measures on rearrangement invariant, solid subspaces of L0 with respect to some atom less probability space . This problem was posed by F. Delbaen, while in this paper we proposed a solution via ideals of L0 and the class of the dominated variation distributions, as well.

Rearrangement Invariant, Coherent Risk Measures on L&lt;sup&gt;0&lt;/sup&gt;

Rearrangement Invariant, Coherent Risk Measures on L<sup>0</sup>