Direct sums and the Szlenk index

Brooker, Philip

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Direct sums and the Szlenk index

Date

2011

Authors

Brooker, Philip

Publisher

Academic Press

Abstract

For α an ordinal and 1<p<∞, we determine a necessary and sufficient condition for an ℓp-direct sum of operators to have Szlenk index not exceeding ωα. It follows from our results that the Szlenk index of an ℓp-direct sum of operators is determine