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math.FA2022
Remarks on the Grothendieck norm
Thomas Sinclair, Naveen Vivek
The goal of this short note is to point out three observations around the Grothendieck norm and semidefinite programming. The first is that the Grothendieck norm captures the diffi…
math.FA2020
Malnormal matrices
Garrett Mulcahy, Thomas Sinclair
We exhibit an operator norm bounded, infinite sequence of complex matrices for which the commutator map is uniformly bounded below a…
math.FA2013
On the ergodic theorem for affine actions on Hilbert space
Ionut Chifan, Thomas Sinclair
This note establishes a new weak mean ergodic theorem for 1-cocycles associated to weakly mixing representations of amenable groups.