The Szlenk index of L_p(X) and A_p

2017/01/22 by Ryan M. Causey, Causey, Ryan M.
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1701.06226

openalex publication_date 2017/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a Banach space X, a w^*-compact subset of X^*, and 1

Related

• An alternate description of the Szlenk index with applications
• The Szlenk Index of L_p(X)
• The Szlenk index and local l₁-indices
• Banach Spaces of Bounded Szlenk Index II
• A note on the relationship between the Szlenk and w^*-dentability indices of arbitrary w^*-compact sets