Seminario Banach spaces & Banach lattices
A positive version of Miljutin`s theorem
Ponente: Javier Laguna (Universidad de Murcia)Fecha: viernes 16 de octubre de 2026 - 12:00Lugar: Aula Gris 2, ICMAT
Resumen:
In this seminar, we will present a positive version of Miljutin’s theorem: if \(K\) and \(L\) are two uncountable compact metrizable spaces, then there exists a linear isomorphism \(T\colon C(K)\to C(L)\), which can moreover be chosen to preserve positivity, in the sense that it maps positive functions to positive functions. We will also show that the techniques used in the proof can be adapted to obtain positive versions of several related theorems.
