P. A. Brooker

activity

20102016

most citedDirect sums and the Szlenk index

13 citations · 18 across the 6 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.FA2016★ 3 cited

Non-Asplund Banach spaces and operators

Philip A. H. Brooker

Let $W$ and $Z$ be Banach spaces such that $Z$ is separable and let $R : W ⟶ Z$ be a (continuous, linear) operator. We study consequences of the adjoint operator $R^\ast…

math.FA2016★ 2 cited

Absolutely convex sets of large Szlenk index

Philip A. H. Brooker

Let $X$ be a Banach space and $K$ an absolutely convex, weak $^{*}$ -compact subset of $X^{*}$ . We study consequences of $K$ having a large or undefined Szlenk index and subsequent…