Skip to main content
MathOverflow

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

Required fields*

5
  • $\begingroup$ I'm sorry to be dense, but what is the question? $\endgroup$ Commented Feb 17 at 5:17
  • 4
    $\begingroup$ @LSpice some people use "hypothesis" in the German way, i.e., not in the sense of "assumption" but in the sense of "conjecture" and I assume that the question is whether the three "hypotheses" are true. $\endgroup$ Commented Feb 17 at 7:27
  • 1
    $\begingroup$ This isn't an answer, but local maximizers of $|A|_1$ in the orthogonal group have been explored for the purposes of trying to learn about Hadamard matrices: arxiv.org/abs/1202.2025 $\endgroup$ Commented Feb 17 at 13:57
  • $\begingroup$ @LSpice is I make an edit to make the problem more obvious, but is like Ycor say, the problem is to prove or refute the hypothesis I make. $\endgroup$ Commented Feb 17 at 14:10
  • $\begingroup$ Doesn't Hypothesis 1 follow from Hadamard's inequality? $\endgroup$ Commented Feb 20 at 0:18