Ordinal indices for complemented subspaces of lp
Abstract
We provide complete isomorphic invariance of a class of translation invariant complemented subspaces of Lp constructed by Bourgain, Rosenthal and Schechtman. We compute ordinal Lp-indices for this class. We further show that the isometric index of a tree subspace over a well founded tree is an invariance for the order of the tree. Finally we provide a dichotomy for the subspaces of Lp with small ordinal indices.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.