Abstract
In the main theorem of this paper we show that any involution on the class of lower semi-continuous convex functions which is order-reversing, must be, up to linear terms, the well known Legendre transform.
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CITATION STYLE
APA
Artstein-Avidan, S., & Milman, V. (2009). The concept of duality in convex analysis, and the characterization of the Legendre transform. Annals of Mathematics, 169(2), 661–674. https://doi.org/10.4007/annals.2009.169.661
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