T-invariant Subspaces

graceytigger

Hi everyone- any help would be great!!

For each integer n>= 2, there exists a vector space V and a linear
operator T : L(V ) such that V has exactly n T- invariant subspaces.

I think it is true but i do not know how to prove it...
awesome thanks!!!

mathwonk

try it for n=2. what have you got?

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graceytigger	T-invariant Subspaces Tweet Hi everyone- any help would be great!! For each integer n>= 2, there exists a vector space V and a linear operator T : L(V ) such that V has exactly n T- invariant subspaces. I think it is true but i do not know how to prove it... awesome thanks!!!

mathwonk Recognitions: Homework Help Science Advisor	try it for n=2. what have you got?