English

A short note on hereditary Mazur intersection property

Functional Analysis 2026-02-20 v1

Abstract

In this note, we prove that hereditary Mazur intersection property (MIP) does not imply Fr\'echet smoothness using an example by Borwein and Fabian (1993).

Cite

@article{arxiv.2602.17153,
  title  = {A short note on hereditary Mazur intersection property},
  author = {Pradipta Bandyopadhyay and Deepak Gothwal},
  journal= {arXiv preprint arXiv:2602.17153},
  year   = {2026}
}

Comments

5 Pages

R2 v1 2026-07-01T10:42:35.478Z