# Tag Info

Accepted

### Is this proof of Perron's theorem correct, and if so is it original?

(1) Correctness: I read all arguments in detail and couldn't find anything wrong with them. Of course, this doesn't mean too much... (2) Orginality: I think in a topic which has such an extensive ...
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Accepted

• 2,549
Accepted

### A curious determinantal inequality

Let $C := A^{1/2} (A+B) A^{1/2} + B^{1/2} (A+B) B^{1/2}$; this is a positive semi-definite matrix with the same trace as $(A+B)^2$. We show that the eigenvalues of $C$ are majorised by the ...
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