Eigenspace conditions for homomorphic sensing

12/05/2018

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by   Manolis C. Tsakiris, et al.

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Given two endomorphisms τ_1,τ_2 of C^m with m > 2n and a general n-dimensional subspace V⊂C^m, we provide eigenspace conditions under which τ_1(v_1)=τ_2(v_2) for v_1,v_2 ∈V can only be true if v_1=v_2. As a special case, we recover the result of Unnikrishnan et al. in which τ_1,τ_2 are permutations composed with coordinate projections.