G. Schechtman

activity

19922024

most citedOn the volume of the intersection of two

L_{p}^{n}

balls

19 citations · 83 across the 36 of their papers we have counts for

collaborators

39 papers

math.FA2024

Approximate identities for Ideals in $L (L^{p}))$

William B. Johnson, Gideon Schechtman

The main result is that the only non trivial closed ideal in the Banach algebra $L (L^{p})$ of bounded linear operators on $L^{p} (0, 1)$ , $1 \leq p < \infty$ , that has a left approximate i…

math.FA2021★ 1 cited

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…

math.CO2020

Entropy versus influence for complex functions of modulus one 2

Gideon Schechtman

This is a simplification of a previous version of this ArXiv note. We present an example of a function $f$ from ${- 1, 1}^{n}$ to the unit sphere in $C$ with influence bound…

math.FA2020★ 4 cited

The number of closed ideals in $L (L_{p})$

William B. Johnson, Gideon Schechtman

We show that there are $2^{2^{ℵ_{0}}}$ different closed ideals in the Banach algebra $L (L_{p} (0, 1))$ , $1 < p \neq = 2 < \infty$ . This solves a problem in A. Pietsch's 1978 book "Operato…

math.FA2018

Polylog dimensional subspaces of $ℓ_{\infty}^{N}$

Gideon Schechtman, Nicole Tomczak--Jaegermann

We show that a subspace of of $ℓ_{\infty}^{N}$ of dimension $n > (lo g N lo g lo g N)^{2}$ contains $2$ -isomorphic copies of $ℓ_{\infty}^{k}$ where $k$ tends to infinity with $n/(\log N\l…

math.FA2018★ 1 cited

Ideals in $L (L_{1})$

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 $L (L_{1})$ of bounded linear operators on $L_{1} (0, 1)$ . This answers a q…

Approximate identities for Ideals in L(Lp))

The SHAI property for the operators on L^p

Entropy versus influence for complex functions of modulus one 2

The number of closed ideals in L(Lp​)

Polylog dimensional subspaces of ℓ∞N​

Ideals in L(L1​)

Approximate identities for Ideals in $L (L^{p}))$

The number of closed ideals in $L (L_{p})$

Polylog dimensional subspaces of $ℓ_{\infty}^{N}$

Ideals in $L (L_{1})$