A short proof that ℬ (L1) is not amenable

Y Choi - Proceedings of the Royal Society of Edinburgh Section …, 2021 - cambridge.org
In this note, we provide a short proof that B (L1) and some of its subalgebras are non-
amenable, which completely bypasses all of this machinery. Our approach is based on …

(Non-)amenability of and Banach space geometry

M Daws, M Neufang - arXiv preprint arXiv:2301.03562, 2023 - arxiv.org
Let $ E $ be a Banach space, and $\mathcal B (E) $ the algebra of all bounded linear
operators on $ E $. The question of amenability of $\mathcal B (E) $ goes back to Johnson's …