Genus n Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
We show that the classification problem for genus n Banach spaces can be reduced to the unconditionally primary case and that the critical case there is n=2. It is further shown that a genus n Banach space is unconditionally primary if and only if it contains a complemented subspace of genus (n-1). We begin the process of classifying the genus 2 spaces by showing they have a strong decomposition property.
Keywords
Cite
@article{arxiv.math/9804065,
title = {Genus n Banach spaces},
author = {Peter G. Casazza and Mark C. Lammers},
journal= {arXiv preprint arXiv:math/9804065},
year = {2007}
}
Comments
26 pages