An ordinal index characterizing weak compactness of operators
classification
🧮 math.FA
keywords
indexoperatorsclassescompactnessordinalweakbanachbounded
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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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