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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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Let $A$ be a $C^*$-algebra and $(a_{ij}) \in M_n(A)$ be a positive matrix. Does there exist a constant $C \ge 0$ (not depending on the $a_{ij}$) such that $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
Concavity of $\mathrm{tr}( \log (I + (S \sqrt{P})^2))$
Let $S$ be a fixed symmetric, invertible, $n \times n$ matrix and denote $I$ the identity matrix. Consider a function $f$ on the space of positive definite matrices defined by$$ f(P) = \operatorname{tr}\left[ (I + (P^{1/4} S P^{1/4})^2)^{-1} \right]...
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14 years
Realizations of polyhedra and discrete mean curvature (followup question)
This is a followup to this question, but I'll try to include all the currently relevant information here.
Background summary: I'm investigating polyhedra in R3 which are in some sense "area-minimizing", in analogy with smooth surfaces of constant mean curvature. In particular, given a particular combinatorial "type" of polyhedron homeomorphic to a sphere... -
2 years
A curious series for $L(2,(\frac{-3}{\cdot}))$
Let$$K:=L\left(2,\left(\frac{-3}{\cdot}\right)\right)=\sum_{k=1}^\infty\frac{(\frac k3)}{k^2}=\sum_{j=0}^\infty\left(\frac1{(3j+1)^2}-\frac1{(3j+2)^2}\right),$$ where $(\frac k3)$ is the Legendre symbol.Recently, I found the following (conjectural) curious...
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15 years
When should a result be made into a paper?
I recently posted a short (6 page) note on arXiv, and have more or less decided that I should not submit it to a journal. I could have tacked it onto the end of a previous paper, but I thought it would be somewhat incongruous -- it is an interesting...
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