Before revision:  It is shown that \mathcal{E } (\cdot|U)}\colon }\to(U) be a sublinear increasing functional which leaves L(U) invariant.
After revision:  It is shown that \mathcal{E } V and U to the real line, respectively. Let \mathcal{E(\cdot|U)}\colon }\to(U) be a sublinear increasing functional which leaves L(U) invariant.