77. 08/07/2024 Jorge Garcés (Technical University of Madrid, Spain)

Описание к видео 77. 08/07/2024 Jorge Garcés (Technical University of Madrid, Spain)

Title: Maps preserving the truncation of triple products on Cartan factors

Abstract: We generalize the concept of truncation of operators to JB*-triples and study some general properties of bijections preserving the truncation of triple products in both directions between general JB*-triples. In our main result, we show that a (non-necessarily linear nor continuous) bijection between atomic JBW*-triples preserving the truncation of triple products in both directions (and such that the restriction to each rank-one Cartan factor is a continuous mapping) is an isometric real linear triple isomorphism.

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