Abstract
AbstractA nonstandard proof of the fact that a Banach space in which a ball is contained in the range of a countably additive measure is superreflexive is given. The proof is an application of a general method in which we first transfer certain standard objects to the nonstandard hull of a Banach space and then, using the quite well developed theory of nonstandard hulls, derive results about the objects in the original Banach space. It also provides us with an example of the applications of the theory of nonstandard hull valued measures.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Banach Spaces and Linear Operators;Nonstandard Analysis for the Working Mathematician;2015
2. Functional Analysis;Nonstandard Analysis for the Working Mathematician;2000
3. An Introduction to Nonstandard Functional Analysis;Nonstandard Analysis;1997
4. On the theory of vector valued Loeb measures and integration;Journal of Functional Analysis;1992-03
5. ON THE EXTENSIONS OF VECTOR-VALUED LOEB MEASURES;P AM MATH SOC;1991