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Some Inequalities for Commutators(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2016年01期
Page:
25-
Research Field:
数学
Publishing date:

Info

Title:
Some Inequalities for Commutators
Author(s):
Yang XingdongLiu ShihuiTu Yuanyuan
College of Mathematics & Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China
Keywords:
eigenvaluessingular valuesfrobenius norminequalitycommutator
PACS:
15A57,15A42
DOI:
-
Abstract:
If [Γ] and [Γ~] are [m×n] diagonal matrces and A and B are normal matrices,then the upper bound of Frobenius norm of [AI(r)m×n-I(r)m×nB] should be [1σ||AΓ-ΓB~||F]. Some related inequalities are proved,and the results are generalized.

References:

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[6] RAJENDRA R,CHANDLER D,FUAD K. Some inequalities for commutators and an applications to spectral variation[J]. Aequationes mathematicae,1991,41:70-78.
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Memo

Memo:
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Last Update: 2016-03-30