We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals N of completely nuclear, I of completely integral and E of completely ...

We study the extent to which several classical results relating linear or multilinear forms and their zero-sets can be generalised to linear or bilinear operators with values in Rn. We find some analogues of the classical ...

We study the dynamics induced by an m-linear operator. We answer a question of Bès and Conejero showing an example of an m-linear hypercyclic operator acting on a Banach space. Moreover, we prove the existence of m-linear ...

We review how to construct the Paneitz operator in dimension four and the correspondingoperator in dimension six, by constructing symmetric bilinear differentialfunctionals that are conformally invariant.Keywords: Conformal ...

We review how to construct the Paneitz operator in dimension four and the correspondingoperator in dimension six, by constructing symmetric bilinear differentialfunctionals that are conformally invariant.Keywords: Conformal ...

We introduce a new Integer Linear Programming (ILP) approach for solving Integer Programming (IP) problems with bilinear objectives and linear constraints. The approach relies on a series of ILP approximations of the ...