Plasticity of the unit ball of c0
In this talk we consider a challenging open problem of whether the unit ball of every Banach space is a plastic metric space (a metric space is called plastic if every non-expansive bijection from this space onto itself is an isometry). We are going to provide some insight into the problem and show what has been achieved so far. We also present a new result, which says that the unit ball of c0 has a property similar to plasticity - we show that a non-expansive bijection from the unit ball of c0 onto itself is an isometry, provided that the inverse map is continuous.
8. aprillil kell 10.00. Liitu Zoomis.
ID: 952 2966 4082
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