Vector-valued Maclaurin inequality
Fix vectors v1,…,vm∈Rdv_1,\dots,v_m\in\mathbb{R}^dv1,…,vm∈Rd with 1≤d≤m1\le d\le m1≤d≤m. For integers kkk satisfying 2≤k≤d2\le k\le d2≤k≤d, let ∣vi1∧⋯∧vik∣|v_{i_1}\wedge\cdots\wedge v_{i_k}|∣vi1∧⋯∧vik∣ denote the Euclidean norm of the…