Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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|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
add comment

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.