English

Dualities and endomorphisms of pseudo-cones

Metric Geometry 2023-08-15 v3 Functional Analysis

Abstract

In this paper we study a class of convex sets which are called closed pseudo-cones and study a new duality of this class. It turns out that the duality characterizes closed pseudo-cones and is essentially the only possible abstract duality of them.The characterization of the duality is corresponding to the classification of endomorphisms closed pseudo-cones.

Keywords

Cite

@article{arxiv.2203.09666,
  title  = {Dualities and endomorphisms of pseudo-cones},
  author = {Yun Xu and Jin Li and Gangsong Leng},
  journal= {arXiv preprint arXiv:2203.09666},
  year   = {2023}
}

Comments

26 pages

R2 v1 2026-06-24T10:17:48.353Z