Tikhonov Well-Posedness and Differentiability on Asymmetrically Normed Spaces
Functional Analysis
2025-08-29 v2
Abstract
On normed vector spaces there is a well-known connection between the Tikhonov well-posedness of a minimisation problem and the differentiability of an associated convex conjugate function. We show how this duality naturally generalises to the setting of asymmetrically normed spaces and prove a universal differentiability property of the convex conjugate of the cumulant-generating function of a mean-zero measure on a locally convex space.
Keywords
Cite
@article{arxiv.2504.00675,
title = {Tikhonov Well-Posedness and Differentiability on Asymmetrically Normed Spaces},
author = {Jan Fischer and Jobst Ziebell},
journal= {arXiv preprint arXiv:2504.00675},
year = {2025}
}