Asplund operators and the Szlenk index
This thesis constitutes an investigation into the Szlenk index of operators acting between Banach spaces, primarily in the context of operator ideal theory. Roughly speaking, the Szlenk index measures the complexity of certain sets in dual Banach spaces, and it has become a standard tool of the trade in Banach space theory since its introduction by W. Szlenk in 1968. The starting point of this thesis is a proof that there is a class of closed operator ideals naturally associated with the Szlenk...[Show more]
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