A quantitative version of the commutator theorem for zero trace matrices.
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| Abstract |
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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 |
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2012
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| Journal |
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Proceedings of the National Academy of Sciences of the United States of America
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| Date Published |
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2012
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| ISSN Number |
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0027-8424
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| URL |
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http://www.pnas.org/cgi/pmidlookup?view=long&pmid=22869696
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| DOI |
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10.1073/pnas.1202411109
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| Short Title |
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Proc Natl Acad Sci U S A
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| Download citation |
