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

Piotr Wilczek

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arXiv · 1107.1693

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

Piotr Wilczek

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Abstract

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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BibTeX RIS

Piotr Wilczek. 2011-07-08. Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis. https://arxiv.org/abs/1107.1693

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