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Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms
Dale Alspach, Simei Tong
In this note we give a simple proof that every subspace of L_p, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently…
Complemented Subspaces of L_p Determined by Partitions and Weights
Dale Alspach, Simei Tong
Many of the known complemented subspaces of L_p have realizations as sequence spaces. In this paper a systematic approach to defining these spaces which uses partitions and weights…
The Szlenk index and local l_1-indices
Dale Alspach, Robert Judd, Edward Odell
We introduce two new local l_1-indices of the same type as the Bourgain l_1 index; the l_1^+-index and the l_1^+-weakly null index. We show that the l_1^+-weakly null index of a Ba…
The dual of the Bourgain-Delbaen space
Dale Alspach
It is shown that a script L_infty-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(omega^omega…