G. Pisier

activity

19922026

L_{p}

-spaces and completely

p

-summing maps

286 citations · 878 across the 61 of their papers we have counts for

collaborators

Showing 1999Show all

3 papers · 1 filter

math.OA1999

An inequality for p-orthogonal sums in non-commutative $L_{p}$

Gilles Pisier

We give an alternate proof of one of the inequalities proved recently for martingales (=sums of martingale differences) in a non-commutative $L_{p}$ -space, with $1 < p < \infty$ , by Q. X…

math.FA1999★ 4 cited

On a question of Niels Grønbaek

Gilles Pisier

Let F(X) denote the norm closure of the space of all finite rank operators on a Banach space X. We show that there are Banach spaces X for which the product map $a \otimes b \to ab$ …

math.OA1999★ 1 cited

The similarity degree of an operator algebra II

Gilles Pisier

For every integer $d \geq 1$ , there is a unital closed subalgebra $A_{d} \subset B (H)$ with similarity degree equal precisely to $d$ , in the sense of our previous paper. This means that…

An inequality for p-orthogonal sums in non-commutative Lp​

On a question of Niels Grønbaek

The similarity degree of an operator algebra II

An inequality for p-orthogonal sums in non-commutative $L_{p}$