Renorming AM-spaces

Authors :: Oikhberg, Timur
Tursi, Mary Angelica
Publication Year :: 2020
Abstract: We prove that any separable AM-space $X$ has an equivalent lattice norm for which no non-trivial surjective lattice isometries exist. Moreover, if $X$ has no more than one atom, then this new norm may be an AM-norm. As our main tool, we introduce and investigate the class of so called Benyamini spaces, which ``approximate'' general AM-spaces.<br />Comment: 15 pages