上海科技大学知识管理系统

Given two endomorphisms τ1,τ2 of ℂm, we provide eigenspace conditions under which τ1(v1)=τ2(v2) for v1,v2∈ can only be true if v1=v2, where  is a general n-dimensional subspace of ℂm for some n≤m/2. As a special case, we show that these eigenspace conditions are true when the endomorphisms are permutations composed with coordinate projections, leading to an abstract proof of the recent unlabeled sensing theorem of Unnikrishnan et al.