2 problems

Matching

The real-part spectral-symbol conjecture for matrix sequences
About 8 years old
Real-part spectral-symbol conjecture. Is it true that
openmatrix-sequences perturbation-theory spectral-distribution
011
The small trace-norm perturbation conjecture for Hermitian matrix sequences
At least 7 years old
Small trace-norm perturbation conjecture. Then
openmatrix-sequences perturbation-theory spectral-distribution
014