Renorming AM-Spaces

T. Oikhberg; M. A. Tursi

doi:10.1090/proc/15714

Renorming AM-Spaces

T. Oikhberg, M. A. Tursi

Mathematics

Research output: Contribution to journal › Article › peer-review

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 regular AM-spaces, which "approximate" general AM-spaces.

Original language	English (US)
Pages (from-to)	1127-1139
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	3
DOIs	https://doi.org/10.1090/proc/15714
State	E-pub ahead of print - 2022

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Mathematics(all)
Applied Mathematics

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note = "Funding Information: Received by the editors November 7, 2020, and, in revised form, May 29, 2021, and June 5, 2021. 2020 Mathematics Subject Classification. Primary 46B42; Secondary 46B03, 46B04, 46E05. The first author was partially supported by the NSF DMS Award 1912897. Publisher Copyright: {\textcopyright} 2022 American Mathematical Society. All rights reserved.",

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Renorming AM-Spaces

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