Article ID Journal Published Year Pages File Type
4617331 Journal of Mathematical Analysis and Applications 2012 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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