Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
THE MULTIPLICATIVE PROPERTY CHARACTERIZES `p AND Lp NORMS
 

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