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arXiv · 2011.04140

Renorming AM-spaces

Timur Oikhberg·Mary Angelica Tursi
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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.

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Timur Oikhberg, Mary Angelica Tursi. 2020-11-09. Renorming AM-spaces. https://arxiv.org/abs/2011.04140

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