Two-Sided Estimates for Operator ℓp to ℓq Norms of Random Matrices with IID Entries

Explore two-sided estimates for operator ℓp → ℓq norms of random matrices with independent and identically distributed entries in this 23-minute conference talk by Rafal Latala. Delve into the expected value of operator norms from ℓ np to ℓmq, with constants independent of p, q, n, and m, for matrices satisfying mild regularity assumptions. Examine the main tools used in proofs, analyze relevant examples, and consider open problems in this field. The presentation draws from joint research with Marta Strzelecka, offering insights into this complex area of mathematics at the intersection of operator theory and probability.

Rafal Latala: Two-sided estimates for operator ℓp → ℓq norms of random matrices with iid entries