A quantitative version of the commutator theorem for zero trace matrices.
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| Abstract | :
Let A be an m m complex matrix with zero trace and let ε > 0. Then there are m m matrices B and C such that A = [B,C] and ‖B‖‖C‖ ≤ K(ε)m(ε)‖A‖ where K(ε) depends only on ε. Moreover, the matrix B can be taken to be normal. |
| Year of Publication | :
2012
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| Journal | :
Proceedings of the National Academy of Sciences of the United States of America
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| Date Published | :
2012
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| ISSN Number | :
0027-8424
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| URL | :
http://www.pnas.org/cgi/pmidlookup?view=long&pmid=22869696
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| DOI | :
10.1073/pnas.1202411109
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| Short Title | :
Proc Natl Acad Sci U S A
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