An ordinal index characterizing weak compactness of operators

2015/08/09 by Causey, Ryan M.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1508.02065

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.

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