117 citations · 265 across the 28 of their papers we have counts for
19 papers · 1 filter
Polylog dimensional subspaces of
Gideon Schechtman, Nicole Tomczak--Jaegermann
We show that a subspace of of of dimension contains -isomorphic copies of where tends to infinity with $n/(\log N\l…
On the geometry of projective tensor products
Ohad Giladi, Joscha Prochno, Carsten Schütt +2
In this work, we study the volume ratio of the projective tensor products with . We obtain asymptotic…
On approximations by projections of polytopes with few facets
Alexander E. Litvak, Mark Rudelson, Nicole Tomczak-Jaegermann
We provide an affirmative answer to a problem posed by Barvinok and Veomett, showing that in general an n-dimensional convex body cannot be approximated by a projection of a sectio…
On the nontrivial projection problem
Stanislaw J. Szarek, Nicole Tomczak-Jaegermann
The Nontrivial Projection Problem asks whether every finite-dimensional normed space of dimension greater than one admits a well-bounded projection of non-trivial rank and corank o…
Majorizing measures and proportional subsets of bounded orthonormal systems
Olivier Guedon, Shahar Mendelson, Alain Pajor +1
In this article we prove that for any orthonormal system $(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in , and any , there exists a subset of cardinali…
On norm closed ideals in L(\ell_p\oplus\ell_q)
B. Sari, Th. Schlumprecht, N. Tomczak-Jaegermann +1
It is well known that the only proper non-trivial norm-closed ideal in the algebra L(X) for X=\ell_p (1 \le p < \infty) or X=c_0 is the ideal of compact operators. The next natural…