Conjectured Kolmogorov-number lower bound for quasi-Banach Schatten embeddings
Let SpNS_p^NSpN and SqNS_q^NSqN be Schatten classes of N×NN\times NN×N matrices, and let dnd_ndn denote the nnnth Kolmogorov number of the embedding. For 0<p≤∞0<p\leq\infty0<p≤∞, 0<q≤10<q\leq10<q≤1, q≤pq\leq pq≤p,…