Böttcher, Albrecht ; Wenzel, David : The Frobenius norm and the commutator

Author(s):

Böttcher, Albrecht
Wenzel, David

Title:

The Frobenius norm and the commutator

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 5, 2008

Mathematics Subject Classification:

15A45			[ Miscellaneous inequalities involving matrices ]
15A69			[ Multilinear algebra, tensor products ]

Abstract:

In an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of two matrices. This conjecture was recently proved by Seak-Weng Vong and Xiao-Qing Jin. We here give a completely different proof of this inequality, prove some related results, and embark on the corresponding question for unitarily invariant norms.

Keywords:

commutator, Frobenius norm, unitarily invariant norm

Language:

English

Publication time:

3 / 2008