A remark on the Mahler conjecture: local minimality of the unit cube (Q605902)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the Mahler conjecture: local minimality of the unit cube |
scientific article |
Statements
A remark on the Mahler conjecture: local minimality of the unit cube (English)
0 references
15 November 2010
0 references
The authors prove that the unit cube \(B^n_\infty\) is a strict local minimizer for the Mahler volume product \(\text{vol}_n(K)\text{vol}_n(K^*)\) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.
0 references
Mahler volume product
0 references
local minimization
0 references
Banach-Mazur distance
0 references
