Subspaces of Lp, p>2, with unconditional basis have equivalent partition and weight norms
Abstract
In this note we give a simple proof that every subspace of Lp, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently Lp has a norm determined by partitions and weights.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.