报告题目：A Marcinkiewicz theory for Schur-Multipliers on Schatten-von Neumann Classes

报告时间：2022-06-10  09:00 - 10:00

报告人：梅韬 教授(美国贝勒大学)

ZOOMID：561 420 9883  密码：tmcc2022

Abstract：The Schur product of two n by n matrices is a pointwise product. More precisely, the Schur product of m=m_ij and A =(a_ij) is the matrix m_ija_ij. Let us fix the matrix m and view the Schur product of matrices with m as a map on the matrix algebra, which we call a Schur multiplier. The boundedness of Schur multipliers (with more general indices) naturally connects to the approximation property of group von Neumann algebras as shown in the work of Haagerup, Lafforgue/de la Salle, Parcet/de la Salle/Ricard, and Parcet etc. In this talk, I plan to introduce an analogue of Marcinkiewicz-multiplier theory for Schur multipliers on Schatten-p classes. The talk will be based on a recent work with ChianYeong Chuah and Zhenchuan Liu.