51 citations · 253 across the 61 of their papers we have counts for
61 papers
On stability of metric spaces and Kalton's property
F. Baudier, Th. Schlumprecht, A. Zsák
The first named author introduced the notion of upper stability for metric spaces as a relaxation of stability. The motivation was a search for a new invariant to distinguish the c…
Stochastic Embeddings of Graphs into Trees
Th. Schlumprecht, Garrett Tresch
It is known that every graph with n vertices embeds stochastically into trees with distortion . In this paper, we show that this upper bound is sharp for a large class o…
-distortion of Wasserstein metrics: a tale of two dimensions
Florent P. Baudier, Chris Gartland, Thomas Schlumprecht
By discretizing an argument of Kislyakov, Naor and Schechtman proved that the 1-Wasserstein metric over the planar grid has -distortion bounded below by a…
The space is primary for
Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1
The classical Banach space consists of measurable scalar functions on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…
The cardinality of the sublattice of closed ideals of operators between certain classical sequence spaces
Daniel Freeman, Thomas Schlumprecht, Andras Zsak
Theorem A and Theorem B of [1] state that for the lattice of closed ideals of , and of $\mathcal{L}(\ell_1,\…
Banach spaces for which the space of operators has closed ideals
Daniel Freeman, Thomas Schlumprecht, Andras Zsak
We formulate general conditions which imply that , the space of operators from a Banach space to a Banach space , has closed ideals where $\mathfra…