论文信息 - ISOMETRIES FOR THE LEGENDRE-FENCHEL TRANSFORM

ISOMETRIES FOR THE LEGENDRE-FENCHEL TRANSFORM

It is shown that on the space of lower semicontinuous convex functions defined on R', the conjugation map-the Legendre-Fenchel transform-is an isometry with respect to some metrics consistent with the epi-topology. We also obtain isometries for the infinite dimensional case (Hilbert space and reflexive Banach space), but this time they correspond to topologies finer than the Mosco- epi-topology.

Roger J.-B. Wets | Hedy Attouch | R. Wets | H. Attouch

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