Speaker
Vladimir Peller
(Michigan State University)
Description
I am going to speak about my joint results with A.B. Aleksandrov. Gilles Pisier posed the problem of whether a matrix Schur multiplier of the Schatten—von Neumann class $S_p$ for $1 < p < \infty$, $p\neq 2$, has to be completely bounded. We have proved that this is true in the case $0< p < 1$. We also consider various sufficient conditions for an infinite matrix to be a Schur multiplier of $S_p$. In particular, we introduce a $p$-analog of the Haagerup tensor product of $\ell^\infty$ spaces.
Primary author
Vladimir Peller
(Michigan State University)
