English

Subdifferential determination of a primal lower regular function on a Banach space

Functional Analysis 2025-02-20 v1

Abstract

We generalize to Banach space Thibault-Zagrodny Theorem that if ff and gg are primal lower regular functions and f=g\partial f = \partial g locally, then ff and gg locally differ by a constant.

Keywords

Cite

@article{arxiv.2502.13466,
  title  = {Subdifferential determination of a primal lower regular function on a Banach space},
  author = {M. Ivanov and M. Konstantinov and N. Zlateva},
  journal= {arXiv preprint arXiv:2502.13466},
  year   = {2025}
}
R2 v1 2026-06-28T21:49:40.903Z