5 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
Higher Order Tsirelson Spaces and their Modified Versions are Isomorphic
Hung Viet Chu, Thomas Schlumprecht
We prove that for every countable ordinal , the Tsirelson's space of order , is naturally, i.e., via the identity, -isomorphc to its modified version. For the first…
Transportation cost spaces and their embeddings into , a Survey
Thomas Schlumprecht
These notes present a basic survey on Transportation cost spaces (aka Lipschitzfree spaces, Wasserstein spaces) and their bi-Lipschitz and linear embeddings into spaces. To m…
The algebra of bounded linear operators on has infinitely many closed ideals
Thomas Schlumprecht, András Zsák
We prove that in the reflexive range the algebra of all bounded linear operators on has infinitely many closed ideals. This solves a problem rai…
On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Thomas Schlumprecht
We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach spac…