Are Unitarizable Groups Amenable?

Gilles Pisier

Add an identifier
Quantitative example of a unitarizable group
0
0
Entering edit mode
4 months ago
Bruce ▴ 45

In theorem 1.1 (see below) Pisier shows that a quantitative condition on the invertible operator which unitarizes a uniformly bounded implies the amenability of the group.

enter image description here

where

enter image description here

Is there a known example of an amenable group which has a uniformly bounded representation pi which is unitarizable where ||S|| ||S^-1|| > |pi|^2?

amenability • 82 views
ADD COMMENT

Login before adding your answer.

Traffic: 1 users visited in the last hour