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Mathoverflow.net news digest

  • 0 days

    Is this a counterexample to a published asymptotic theorem for monic orthogonal ...

    I am not an expert in asymptotics of orthogonal polynomials, so I would appreciate verification from people who know this area.
    I was reading the paper
    C. Féliz-Sánchez, H. Pijeira-Cabrera, J. Quintero-Roba, Asymptotic for Orthogonal Polynomials with Respect to a Rational Modification of a Measure Supported on the Semi-Axis, Mathematics 12 (2024), 1082....

  • 0 days

    Is there a Kantorovich-Rubinstein duality theorem for the bottleneck distance $W...

    Disclaimer: I'm not at all a specialist of optimal transportation.
    After struggling a bit with metrising a space of objects I'm working with (which I do not give any details about, as it is a completely unrelated field and I'd have to introduce looots of things), turned out the definition I was looking for was the Bottleneck...

  • 12 days

    Does every H-space admits a Maltsev operation?

    Let $X$ to be a connected, compact CW complex.
    It is called an $H$-space, if there is a point $e\in X$ and a continuous map $\mu\colon X \times X \to X$, such that $\mu(x,e)=\mu(e,x)=x$ for all $x\in X$.
    It admits a Maltsev operation, if there is a continuous map $m\colon X \times X \times X \to X$, such that $m(x,y,y)=m(y,y,x)=x$ for all $x,y\in X$....

  • 5 months

    Criteria for the completion of an ultrabornological locally convex vector space ...

    In what follows, all vector spaces are over the field of scalars $\mathbb{K}=\mathbb{R}$ or $\mathbb{C}$. One has as basic facts in functional analysis that:
    Any bounded linear operator $T:E\rightarrow F$ between normed vector spaces $E,F$ (i.e. $T(K)\subset F$ is bounded whenever $K\subset E$ is bounded) is continuous;...

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