Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

T-invariant Subspaces

  1. Apr 19, 2005 #1
    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!!!
  2. jcsd
  3. Apr 19, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    try it for n=2. what have you got?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: T-invariant Subspaces
  1. T-invariant subspaces (Replies: 3)

  2. Invariant Subspace (Replies: 6)

  3. Invariant subspace (Replies: 3)