On the [Wikipedia article] on "matrix exponential", they draw a relation between the Golden-Thompson inequality and Lieb's theorem. My questions are:
- It mentions that Lieb's thoerem "accomplishes in a way" what is left undone by the Golden-Thompson inequality (which cannot be extended to three matrices). I'm not seeing the connection.
- It mentions the "cone of positive matrices". What is the meaning of the term "cone" here?