Timeline for Logarithm of complex matrices in holomorphic families
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 10, 2011 at 17:22 | answer | added | David E Speyer | timeline score: 3 | |
| Oct 10, 2011 at 7:46 | answer | added | Xandi Tuni | timeline score: 5 | |
| Oct 5, 2011 at 16:54 | comment | added | Christopher A. Wong | In case anybody was wondering, I basically misread the problem, so my above comments don't make much sense. It is true, however, that it may be impossible to define a logarithm consistently on $f(U)$; but that's not what the question is asking. | |
| Oct 5, 2011 at 12:56 | history | edited | BS. | CC BY-SA 3.0 |
deleted 2 characters in body; edited tags
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| Oct 5, 2011 at 8:58 | answer | added | Denis Serre | timeline score: 1 | |
| Oct 5, 2011 at 8:52 | comment | added | Christopher A. Wong | Yes, but we need define a logarithm that is consistent across all matrices in $f(U)$. | |
| Oct 5, 2011 at 8:48 | comment | added | Suvrit | Every nonsingular matrix $A$ has a logarithm that is a polynomial in $A$... | |
| Oct 5, 2011 at 8:35 | comment | added | Christopher A. Wong | I think this depends on the choice of $f$. We need to define a branch of logarithm that does not cross the spectrum of any matrix in the image of $f$. I'm not sure that's always guaranteed to be possible. | |
| Oct 5, 2011 at 7:53 | history | asked | Xandi Tuni | CC BY-SA 3.0 |