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, 1996

"... Introduction Let E be an l.c.s.. (Hausdorff locally convex space), E 0 its dual and X ae E a proper convex cone, not necessarily closed. Recall that an open ray ffi of X is said to be extreme if (x 2 ffi and x = y + z with y; z 2 X n 0) implies (y; z 2 ffi); we denote by E g (X) the union of al ..."

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Introduction Let E be an l.c.s.. (Hausdorff locally convex space), E 0 its dual and X ae E a proper convex cone, not necessarily closed. Recall that an open ray ffi of X is said to be extreme if (x 2 ffi and x = y + z with y; z 2 X n 0) implies (y; z 2 ffi); we denote by E g (X) the union of all the extreme open rays of X. One of the problems of the theory of integral representation is to give conditions on X in order that for each x 2 X , there is at least one positive Radon measure m on E g<F