Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: Norm continuous group representations
Posted:
Feb 15, 2008 10:30 AM


> Can you produce an example where there is even one interesting > operatornormcontinuous represenation? I guess "interesting" would > mean not essentially a direct sum of finitedimensional > representations.
Yes, the left regular representation of a discrete infinite group. Similar action arises when G has two neighbourhoods of unity such that VU\subset U. Then G acts normcontinuously on the subspace of L_2(G) consisting of functions such that f(xU)=f(x) for all x.
I cannot think out less trivial examples, and this is why I'm asking the question.



