The Inequality χ -X- ≤ χ* -X-, Via the Classical Entropy of Matrix Approximations

Explore a 21-minute lecture by Jennifer Pi from the University of California, Irvine, delivered on November 13, 2023, as part of the Workshop on Operator Algebras and Applications: Free Probability at the Fields Institute. Delve into the intricacies of the inequality χ (X) ≤ χ* (X) and its relationship to the classical entropy of matrix approximations. Gain insights into this complex mathematical topic, which is part of the broader Thematic Program on Operator Algebras and Applications. Access the full abstract for more detailed information about the talk's content and its significance in the field of operator algebras.