Fixed Point Rigidity of the Operator $\hat{I}{“}_p{\hat{I}}_p^{\ast }$ and the LYZ Conjecture

Youjiang Lin, Sudan Xing

Motivated by the recent approach of Milman, Shabelman, and Yehudayoff \cite{MilmanShabelmanYehudayoff2025}, we establish, for $p>1$, a complete characterization of the fixed points…