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

I recently posted a question here about adjoint maps. I now want to take this further and show that - with the assumptions as in the original - the minimum polynomials of $T$ and $T^{*}$ are the same. Further to this, what can be said of the eigenvalues of $T$ and $T^{*}$?

Any help would be appreciated. Best regards.

share|cite|improve this question
This is false over $\mathbb{C}$. You need to specify that you're working over $\mathbb{R}$. – Qiaochu Yuan Jan 12 '13 at 1:33
The question states that the inner product space is real. – Mathmo Jan 12 '13 at 5:04
Questions on SE should be self-contained whenever possible. There's no need to make the reader refer to a different question to obtain a short list of hypotheses that is easy to state. – Qiaochu Yuan Jan 12 '13 at 5:08

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.