| $\infty$ | Trivial | The best known general estimates on $B_{\mathbb R,m}$ for each fixed $m$ are sublinear in $m$; for example $B_{\mathbb R,m} < 1.3\ m^{0.365}$ for $m\ge 14$ [CP2018]. |tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $2$ | [DMPSS2014] | Proves the general lower bound $B_{\mathbb R,m}\ge 2^{1-\frac1m}$ for every $m\ge 2$. Taking $\sup_m$ gives $C_{26b}\ge 2$. (For $m=2$ this is sharp: $B_{\mathbb R,2}=\sqrt{2}$, i.e. Littlewood's $4/3$ inequality.) |tracked since 2026-07-24 — no movement seen yet
Cite this rowBounds Ledger — Multilinear Bohnenblust--Hille constant (real) (26b)
upper bound: $\infty$ (tracked since 2026-07-24 — no movement seen yet)
lower bound: $2$ (tracked since 2026-07-24 — no movement seen yet)
Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read.
https://u00dxk2.github.io/bounds-ledger/c/26b.html