notes
Personal notes that have grown enough over time to see the light of day.
- Construction of dual spaces with respect to an isomorphism
This short note describes a construction related to extrapolated spaces, spaces of negative norm and Gelfand triples, in which one uses an isomorphism together with three spaces connected by inclusions to construct a new space. This space identifies isometrically with the topological dual of the intermediate space and admits a natural extension of the initial isomorphism that preserves this property.