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Renorming AM-spaces by Oikhberg, Timur; Tursi, Mary Angelica is a scholarly article available to read on EtoBox.

What is Renorming AM-spaces about?

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.

Author

Oikhberg, Timur; Tursi, Mary Angelica

Published

2020

Language

EN