Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617331 | Journal of Mathematical Analysis and Applications | 2012 | 8 Pages |
Abstract
For a Banach space XX, let {dn(X)}{dn(X)} be the sequence of distances to a Hilbert space. We identify a rather large class of Banach spaces XX with the property that when the rate of growth of dn(X)dn(X) is at least the same as (log(n))β(log(n))β, for some β>1β>1, then XX does not have the hereditary approximation property.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Razvan Anisca, Christopher Chlebovec,