Filip Talimdjioski

will speak on

Metric approximation property of Lipschitz-free spaces over certain subsets of $R^n$.

Time: 4:00PM
Date: Tue 12th May 2020
Location: Seminar Room SCN 1.25 [map]

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Abstract: t is known that the Lipschitz-free space over compact subsets of $(R^n, \|\cdot\|)$ that are 'locally downwards closed' (a type of boundary condition), has the metric approximation property, where $\|\cdot\|$ is an arbitrary norm on $R^n$ (E. Pernecka and R. Smith, 2015). I will present a generalisation of this result, namely, that the Lipschitz-free space over any closed and locally downwards closed subset of $(R^n, \|\cdot\|)$ has the metric approximation property, where $\|\cdot\|$ is an arbitrary norm.

(This talk is part of the Analysis series.)

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