1 citations · 1 across the 4 of their papers we have counts for
5 papers
Column bounded matrices and Grothendieck's inequalities
Erik Christensen
It follows from Grothendieck's little inequality that to any complex (m x n) matrix X of column norm at most 1, and an 0 <e <1, there exist a natural number q, an (m x q) matrix C…
The Schur multiplier norm and its dual norm
Erik Christensen
We present a formula for the Schur multiplier norm of a complex self-adjoint matrix, and a formula for the norm, which is dual to the Schur multiplier norm, of a self-adjoint matri…
Jordan norms for multilinear maps on C*-algebras and Grothendieck's inequalities
Erik Christensen
There exists a generalization of the concept, completely bounded norm for multilinear maps on C*-algebras. We will use the word, Jordan norm, for this norm. The Jordan norm of a mu…
Some points of view on Grothendieck's inequalities
Erik Christensen
Haagerup's proof of the non commutative little Grothendieck inequality raises some questions on the commutative little inequality, and it offers a new result on scalar matrices wit…
Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers
Erik Christensen
Grothendieck's inequalities for operators and bilinear forms imply some factorization results for complex m x n matrices. The theory of operator spaces provides a set up which desc…