25. April 2024, 15:00 until 17:00
AKOR Seminar: Stability of Lipschitz-type functions under pointwise product and reciprocation, María Isabel Garrido, Universidad Complutense de Madrid
In this talk we provide necessary and sufficient conditions on the structure of a metric space such that, for various vector lattices of real-valued Lipschitz-type functions defined on this metric space, the vector lattice is stable under pointwise product, and such that the reciprocal of each non-vanishing member of the vector lattice remains in the vector lattice. In each case the family of metric spaces for which the first property holds contains the family of metric spaces for which the second property holds. (Based on joint work with G. Beer and J. C. García-Lirola)