The Big Question About Limit Operators II
In the first post in this series, I gave some background to the “Big Question” on limit operators which it appears that Lindner and Seidel have solved for the case of free abelian groups. In the next...
View ArticleMetric approach to limit operators
In a couple of posts earlier this year (post I and post II) I started getting to grips with the paper An Affirmative Answer to the Big Question on Limit Operators by Lindner and Seidel. The first of...
View ArticleMetric approach to limit operators II
Following on from my earlier post on the Spakula-Willett paper, let my try to summarize sections 5 and 6. These parts produce, for their generalized notion of limit operator, an equivalent of how the...
View ArticleMetric approach to limit operators III
This is a continuation of my posts on the Spakula-Willett paper Metric approach to limit operators (see part I and part II). In this post I will talk about “lower norm witnesses” on spaces with...
View ArticleMetric approach to limit operators IV
In this post I’ll finally get to the “condensation of singularities” argument that was invented by Lindner and Seidel in the (free abelian) group context and generalized by Spakula and Willett to...
View ArticleMetric approach to limit operators V
In the previous post I sketched out the condensation of singularities argument which finishes the proof under the assumption that the underlying metric space \(X\) is a group. In this case all limit...
View ArticleProperty A and ONL, after Kato
Hiroki Sato’s paper on the equivalence of property A and operator norm localization was recently published in Crelle ( “Property A and the Operator Norm Localization Property for Discrete Metric...
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