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Metric 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...

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Metric 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...

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Metric 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...

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Metric 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...

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Property 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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