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Timeline for Monotonicity of eigenvalues II

Current License: CC BY-SA 4.0

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Mar 17, 2022 at 17:01 vote accept Sascha
Mar 17, 2022 at 16:59 answer added Denis Serre timeline score: 4
Mar 17, 2022 at 12:39 comment added Sascha @KurtG. sure, I think I did this 5 minutes ago, right? :)
Mar 17, 2022 at 12:34 comment added Sascha The previous question was too general so that it was false in general and true in the special case of $B$ self-adjoint. The new question is a special case of the previous question, but hopefully true even if $B$ is not self-adjoint. The self-adjoint case is already proven.
Mar 17, 2022 at 12:32 history edited Sascha CC BY-SA 4.0
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Mar 17, 2022 at 12:20 comment added Sascha @KurtG. [1] is about block-matrices, the question has been answered when $B$ is self-adjoint and shown to be false when $B$ is not self-adjoint (in general). Here, I consider now the case that $A$ and $B$ are not block matrices but matrices, in which case the statement still seems to hold, even when $B$ is not hermitian.
Mar 17, 2022 at 12:05 comment added Kurt G. How does this new question differ from [1] ?
Mar 17, 2022 at 11:45 history edited Sascha CC BY-SA 4.0
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Mar 17, 2022 at 2:00 history asked Sascha CC BY-SA 4.0