Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis

Details Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis

2011-07-08

arxiv.org/abs/1107.1693v1

Mathematics

Logic

12 pages

Scientific paper

In this paper it will be shown that assuming the Continuum Hypothesis (CH)
every nonreflexive Banach space ultrapower is isometrically isomorphic to the
space of continuous, bounded and real-valued functions on the Parovicenko
space. This Representation Theorem will be helpful in proving some facts from
geometry and topology of nonreflexive Banach space ultrapowers.

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