English

On some problems concerning symmetrization operators

Metric Geometry 2018-10-01 v1

Abstract

In [G. Bianchi, R. J. Gardner and P. Gronchi, Symmetrization in Geometry, Adv. Math., vol. 306 (2017), 51-88], a systematic study of symmetrization operators on convex sets and their properties is conducted. In the end of their article, the authors pose several open questions. The primary goal of this manuscript is to study these questions.

Keywords

Cite

@article{arxiv.1809.10715,
  title  = {On some problems concerning symmetrization operators},
  author = {Christos Saroglou},
  journal= {arXiv preprint arXiv:1809.10715},
  year   = {2018}
}

Comments

19 pages

R2 v1 2026-06-23T04:21:01.773Z