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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
When is a state on a $C^*$ algebra a vector state on a prescribed Hilbert space?
Given a $C^*$ algebra $A$ with a fixed (left) representation on a given Hilbert space $H$, is there any way to see if a state $\phi:A\to\mathbb{C}$ is a vector state, i.e. if there is a $v\in H$ so that $\phi(a)=\big<\overline{v},a.v\big>$. ...
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0 days
On polygons that can neatly wrap only non convex solids
Ref: A claim on wrapping 3D solids with a sheet of paper
A sheet of paper (a polygonal region that can be folded or wrinkled at will but not stretched or torn) wraps a solid if we can fold the paper such that any path to any point on the surface of the solid from any far away point in space will have to cut... -
26 days
How, in practice, do you compute the dual group of a spherical variety?
Background. A friend and I who work in the representation theory of $p$-adic groups are trying, for culture, to understand some basic ideas from the relative Langlands program of Sakellaridis and Venkatesh. Without going too much into the details of...
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3 months
Logic-Compactness in complete lattice
Assume $\Gamma$ is an infinite set composed of terms (of finite length), and $A$ is a term (of finite length). For example, $\Gamma=\{x,y\sqcup z,x_1,x_2,x_3,\cdots\}$, $A=(x\sqcap y)\sqcup(x\sqcap z)$. Obviously, $\mathop⨅\Gamma\le A$ holds in any of...
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