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Armando W. Gutiérrez: The metric compactification of Lp spaces and some applications

Tid: On 2018-11-28 kl 13.15 - 14.15

Plats: Room F11, KTH

Medverkande: Armando W. Gutiérrez (Aalto University)

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Abstract: The metric compactification is a slight variation of the so-called Gromov's horofunction compactification. The former notion of compactification works for any metric space, while the latter is rather restrictive. In this talk I will present a complete characterization of the metric compactification of the classical Lp spaces in finite and infinite dimensions. By doing this, I will be able to revisit some well-known examples appearing in Ergodic Theory.