Abstract
Let for a large universal constant 0> and let be a convex body in such that for any , any choice of signs and for any permutation on elements, we have . We show that if is not a cube, then can be illuminated by strictly less than sources of light. This confirms the Hadwiger-Gohberg-Markus illumination conjecture for unit balls of -symmetric norms in for all sufficiently large .
Original language | English (US) |
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Pages (from-to) | 372-382 |
Number of pages | 11 |
Journal | Mathematika |
Volume | 63 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 2017 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)