 Denote } by L( U \times%DIFDELCMD < } %%% V) and \mathcal{L the set of all bounded upper semianalytic functions from U \times%DIFDELCMD < } %%% V and U to the real line, respectively(G) the subset of \mathcal{G}-upper semianalytic functions} . Let \mathcal{E}(\cdot| U )\colon\mathcal{L}( U \times%DIFDELCMD < }%%% V )\to\mathcal{L}( U ) be a sublinear increasing functional which leaves \mathcal{L}( U ) invariant.
<fluency>  Denote } by L( U \times%DIFDELCMD < } %%% V) and \mathcal{L the set of all bounded upper semianalytic functions from U \times%DIFDELCMD < } %%% V and U to the real line, respectively(G) the subset of \mathcal{G}-upper semianalytic functions} . Let \mathcal{E}(\cdot| U )\colon\mathcal{L}( U \times%DIFDELCMD < }%%% V )\to\mathcal{L}( U ) be a sublinear increasing functional which leaves \mathcal{L}( U ) invariant.
 Denote } by L( U \times%DIFDELCMD < } %%% V) and \mathcal{L the set of all bounded upper semianalytic functions from U \times%DIFDELCMD < } %%% V and U to the real line, respectively(G) the subset of \mathcal{G}-upper semianalytic functions} . Let \mathcal{E}(\cdot| U )\colon\mathcal{L}( \times%DIFDELCMD < }%%% V )\to\mathcal{L}( U ) be a sublinear increasing functional which leaves \mathcal{L}( U ) invariant.