Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary

Details Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary

2011-07-08

arxiv.org/abs/1107.1692v1

Mathematics

Logic

7 pages

Scientific paper

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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