Summary: 



THE MULTIPLICATIVE PROPERTY CHARACTERIZES `p AND Lp

NORMS



GUILLAUME AUBRUN AND ION NECHITA



Abstract.We show that `p norms are characterized as the unique norms whic*
*h are both
invariant under coordinate permutation and multiplicative with respect to*
* tensor products.
Similarly, the Lpnorms are the unique rearrangement-invariant norms on a *
*probability space

Source: Aubrun, Guillaume - Institut Camille Jordan, Université Claude Bernard Lyon-I

Collections: Mathematics