19 citations · 83 across the 36 of their papers we have counts for
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Approximate identities for Ideals in
William B. Johnson, Gideon Schechtman
The main result is that the only non trivial closed ideal in the Banach algebra of bounded linear operators on , , that has a left approximate i…
The SHAI property for the operators on L^p
William B. Johnson, N. Christopher Phillips, Gideon Schechtman
A Banach space X has the SHAI (surjective homomorphisms are injective) property provided that for every Banach space Y, every continuous surjective algebra homomorphism from the bo…
The number of closed ideals in
William B. Johnson, Gideon Schechtman
We show that there are different closed ideals in the Banach algebra , . This solves a problem in A. Pietsch's 1978 book "Operato…
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…
Ideals in
William B. Johnson, Gilles Pisier, Gideon Schechtman
The main result is that there are infinitely many; in fact, a continuum; of closed ideals in the Banach algebra of bounded linear operators on . This answers a q…
Impossibility of dimension reduction in the nuclear norm
Assaf Naor, Gilles Pisier, Gideon Schechtman
Let (the Schatten--von Neumann trace class) denote the Banach space of all compact linear operators whose nuclear norm $\|T\|_{\mathsf{S}_1}=\su…