21 Mar
2014
21 Mar
'14
10:27 a.m.
He clarified that the actual problem he was interested in was a semigroup, so he's not necessarily concerned with inverses. On Fri, Mar 21, 2014 at 10:22 AM, Warren D Smith <warren.wds@gmail.com> wrote:
Given a finite set of complex matrices generating an infinite group, I need to establish that every element of the group has all eigenvalues within the unit circle.
--you lose. If so, then the inverse elements have reciprocal eigenvalues, which are outside the circle. QED.
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