29 citations · 31 across the 5 of their papers we have counts for
3 papers · 1 filter
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…