We identify a large class of Orlicz spaces X for which the topology \sigma(X,X_n^\sim) fails the C-property   . We also apply a variant of the C-property to establish a w^*-representation theorem for proper convex increasing functionals on dual Banach lattices that satisfy a suitable version of Delbaen's Fatou property  ]  .
We identify a large class of Orlicz spaces X for which the topology \sigma(X,X_n^\sim) fails the C-property introduced in 7 . We also establish a variant of the C-property and use it to prove a w^*-representation theorem for proper convex increasing functionals on dual Banach lattices that satisfy a suitable version of Delbaen's Fatou property . Our results apply, in particular, to risk measures on all Orlicz spaces over 0,1] which is not L_1[0,1] .
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introduced in
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7
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apply
establish
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to establish
and use it to prove
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. Our results apply, in particular, to risk measures on all Orlicz spaces over
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0,1
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which is not L_1[0,1]