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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
Why wasn't the Seymour/Dean vertex treated as a foundational structural property...
The Dean Conjecture (proven by Fisher, and later by Havet and Thomassé in 2000) states that every tournament contains at least one vertex $v$ such that $|N^{++}(v)| \geq |N^{+}(v)|$.
The Havet and Thomassé proof was very important for the use of Median Orders in tournament theory. This led to an increase in attempts to use similar ordering techniques for the broader Seymour Second Neighborhood Conjecture (SSNC). This result itself... -
0 days
What's your favorite Cantor space?
Consider the Cantor set $\mathcal C$. It's pretty fundamental! Part of the reason it's fundamental is that it shows up in many different guises all across mathematics. For example:
There are analytic variants (alternative subsets of $[0,1]$) which are homeomorphic to $\mathcal C$ but which can have radically different analytic properties.... -
0 days
Mixed fractional Laplacian in $\mathbb{R}^N$
Can anybody provide references of semilinear equations in $\mathbb{R}^N$ which involve operator like $(-\Delta)^s\pm (-\Delta)$ with $0<s<1.$ Does this equation arise in physics or any application based phenomena. Please note, I am not looking...
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9 days
What tools are there, apart from using the countable chain condition, to show th...
I am currently trying to work with the Cohen forcing $\mathrm{Add}(\kappa, \lambda^+)$ with $\kappa$ infinite and regular and $\lambda> \kappa$. In my setting I want to preserve some large cardinal property of $\lambda$ in the generic extension and...
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