A counting formula for extreme contractions on regular polygonal Banach spaces
A regular polygonal Banach space \(X\) is a two-dimensional real Banach space whose unit sphere is a regular polygon. We prove that the number of extreme contractions on a regular \(2n\)-gonal Banach space is \(2n^2+4n\). A characterization of extreme contractions on \(X\) is also presented.
Authors
- Saikat Roy (ORCID: https://orcid.org/0000-0002-7926-1427)
- Subhadip Pal (ORCID: https://orcid.org/0009-0009-8481-3589)
- Lakshmi Kanta Dey (ORCID: https://orcid.org/0000-0001-5389-6048)
Institutions
- National Institute of Technology Durgapur (IN)
- Indian Institute of Science Bangalore (IN)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2025-07-01
- DOI
- https://doi.org/10.54330/afm.163218
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University Grants Commission
- National Board for Higher Mathematics