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

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