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

With reference to this paper.

Let $V$ be a locally convex space, and $K=(K_n)$ be a compact matrix convex set in $V$. Then as proved in Cor 3.6 in the above paper, we see that if $v\in K_n$ is a matrix extreme point, then it is also extreme in the usual sense. What about the converse? Of course I guess that not every extreme point is a matrix extreme point and I think the answer lies in the example of matrix intervals $[aI,bI]$. But I am not able to produce a specific example.

Am I looking in the right place? Also, is there some criteria when both sets coincide?

share|cite|improve this question

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.