29 citations · 31 across the 5 of their papers we have counts for
6 papers · 1 filter
Reconstruction and subgaussian operators
Shahar Mendelson, Alain Pajor, Nicole Tomczak-Jaegermann
We present a randomized method to approximate any vector from some set . The data one is given is the set , and scalar products $(\inr{X_i,v})_{i=1}^k$,…
On convexified packing and entropy duality
S. Artstein, V. Milman, S. J. Szarek +1
A 1972 duality conjecture due to Pietsch asserts that the entropy numbers of a compact operator acting between two Banach spaces and those of its adjoint are (in an appropriate sen…
Saturating Constructions for Normed Spaces II
Stanislaw J. Szarek, Nicole Tomczak-Jaegermann
We prove several results of the following type: given finite dimensional normed space V possessing certain geometric property there exists another space X having the same property…
Saturating Constructions for Normed Spaces
Stanislaw J. Szarek, Nicole Tomczak-Jaegermann
We prove several results of the following type: given finite dimensional normed space V there exists another space X with log (dim X) = O(log (dim V)) and such that every subspace…
On the structure of the spreading models of a Banach space
G. Androulakis, E. Odell, Th. Schlumprecht +1
We study some questions concerning the structure of the set of spreading models of a separable infinite-dimensional Banach space . In particular we give an example of a reflexiv…
On certain equivalent norms on Tsirelson's space
Edward Odell, Nicole Tomczak-Jaegermann
Tsirelson's space is known to be distortable but it is open as to whether or not is arbitrarily distortable. For the norm of the Tsirelson spa…