NDLI: Almost Commuting Matrices Need not be Nearly Commuting

Content Provider	Scilit
Copyright Year	1988
Description	Let be the collection of complex matrices with the Hilbert-space-operator norm. There exist two concrete matrices with , but for all commuting pairs . It is shown explicitly that there is a natural obstruction which prevents almost commuting matrices to get close to any commuting pairs.
Related Links	http://www.ams.org/proc/1988-102-03/S0002-9939-1988-0928973-3/S0002-9939-1988-0928973-3.pdf
Ending Page	533
Page Count	5
Starting Page	529
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2047216
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	102
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Commuting Matrices Need Need Not Be Nearly Commuting
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Almost Commuting Matrices Need not be Nearly Commuting