Renorming AM-spaces
arXiv:2011.04140
Abstract
We prove that any separable AM-space has an equivalent lattice norm for which no non-trivial surjective lattice isometries exist. Moreover, if 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.
15 pages