158 citations · 165 across the 12 of their papers we have counts for
13 papers
Separable elastic Banach spaces are universal
Dale E. Alspach, Bunyamin Sari
A Banach space is elastic if there is a constant so that whenever a Banach space embeds into , then there is an embedding of into with constant . We prove…
A complete classification of the spaces of compact operators on C([1,alpha], l_p) spaces, 1<p< infinity
Dale E. Alspach, Elói Medina Galego
We complete the classification, up to isomorphism, of the spaces of compact operators on C([1, gamma], l_p) spaces, 1<p< infinity. In order to do this, we classify, up to isomorphi…
Geometry of the Banach spaces C(beta mathbb N times K, X) for compact metric spaces K
Dale E. Alspach, Elói Medina Galego
A classical result of Cembranos and Freniche states that the C(K, X) spaces contains a complemented copy of c_0 whenever K is an infinite compact Hausdorff space and X is an infini…
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…