3 papers
math.FA2026
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…
math.FA2025
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…
math.OA2024
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…