Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

From Wikipedia

a linear operator T on a finite-dimensional vector space is semi-simple if every T-invariant subspace has a complementary T-invariant subspace.

I wonder if there is a concept for a linear operator to be simple? How is that defined?


share|cite|improve this question
A linear operator $T$ is simple if there are no $T$-invariant subspaces except $V$ and $\{0\}$. So "semi-simple'' means "direct sum of simples." – user29743 Nov 24 '12 at 20:06

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.