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The Joly topology and the Mosco-Beer topology revisited

The Joly topology and the Mosco-Beer topology revisited

Some extensions to the non reflexive case of continuity results for the Legendre-Fenchel transform are presented following an approach due to J.-L. Joly. We compare the topology introduced by J.-L. Joly and the Mosco-Beer topology introduced by G. Beer. In particular, in the case of the space of closed proper …