Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary

Piotr Wilzcek

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arXiv · 1107.1692

Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary

Piotr Wilzcek

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Abstract

In this note a large class of primary Banach spaces is characterized. Namely, it will be demonstrated that under the Continuum Hypothesis the ultrapower of any infinite dimensional nonsuperreflexive Banach space is always primary. Consequently, any infinite dimensional nonsuperreflexive Banach space can be isometrically embedded into its primary ultrapowers.

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BibTeX RIS

Piotr Wilzcek. 2011-07-08. Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary. https://arxiv.org/abs/1107.1692

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