An ordinal index characterizing weak compactness of operators
Functional Analysis
2015-08-25 v3
Abstract
We introduce an ordinal index which characterizes weak compactness of operators between Banach spaces. We study when classes consisting of operators having bounded index form a closed ideal, the distinctness of the classes, and the descriptive set theoretic properties of this index.
Cite
@article{arxiv.1508.02065,
title = {An ordinal index characterizing weak compactness of operators},
author = {Ryan M. Causey},
journal= {arXiv preprint arXiv:1508.02065},
year = {2015}
}
Comments
Theorem numbering has been corrected