Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis
Logic
2011-07-11 v1 Functional Analysis
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.
Cite
@article{arxiv.1107.1693,
title = {Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis},
author = {Piotr Wilczek},
journal= {arXiv preprint arXiv:1107.1693},
year = {2011}
}
Comments
12 pages