This is an appendinx to Eli Glasner's article "On a question of Kazhdan and Yom Din". We show that the question of Kazhdan and Yom Din admits a negative answer for the space of (continuous) operators in Hilbert space. Namely, there exists operators that are nearly fixed by a group without being close to a fixed operator. Our construction is based on ideas introduced by Bożejko and Fendler in 1991.
Authors:N. Monod