Timeline for Applications of the "almost commuting" theorem of H. Lin
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 7, 2012 at 2:51 | comment | added | Yemon Choi | Just as an aside to Igor Rivin's comment: see some of the remarks and references in "Almost commuting unitary matrices", R. Exel, T. Loring, Proc. Amer. Math. Soc. 106 (1989), no. 4, 913--915 | |
| Mar 7, 2012 at 2:08 | history | edited | Bill Johnson | CC BY-SA 3.0 |
Added missing hypothesis as per OP's comment.
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| Mar 3, 2012 at 17:02 | comment | added | Terry Loring | Yes, this is false even if one matrix is Hermitian and the other is a general matrix. A recent summary of this sort of result is "Local operator theory, random matrices and Banach spaces" by Davidson and Szarek in the "Handbook of the geometry of Banach spaces." <p> I will edit the original question in a minute, as it is missing the needed hypothesis that $A$ and $B$ are contractions. | |
| Mar 3, 2012 at 14:25 | comment | added | Igor Rivin | It is a little surprising that this is a named theorem. Is the corresponding result without hermitian assumption false? | |
| Mar 3, 2012 at 0:57 | vote | accept | Mustafa Said | ||
| Mar 3, 2012 at 0:49 | answer | added | Terry Loring | timeline score: 15 | |
| Mar 3, 2012 at 0:38 | history | asked | Mustafa Said | CC BY-SA 3.0 |