## Obstructions to embedding subsets of Schatten classes in Lp spaces

#### Gideon SchechtmanWeizmann Institute of Science

I'll present a few inequalities on metric spaces holding for Lp and
other natural spaces. Some of these inequalities can serve as the metric
analogue of (Pisier's) property and used as an obstruction to the Lipschitz
(and uniform) embeddability of (some discrete subsets of) Schatten classes
into Lp spaces.

I'll present a few inequalities on metric spaces holding for $L_p$ and other natural spaces. Some of these inequalities can serve as the metric analogue of (Pisier's) property $\alpha$ and used as an obstruction to the Lipschitz (and uniform) embeddability of (some discrete subsets of) Schatten classes into $L_p$ spaces.

Joint work with Assaf Naor

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