English

Yosida Duality

Functional Analysis 2016-12-13 v1 Category Theory

Abstract

In this note we prove Yosida duality --- that is: the category of compact Hausdorff spaces with continuous maps is dually equivalent to the category of uniformly complete Archimedean Riesz spaces with distinguished units and unit-preserving Riesz homomorphisms between them.

Keywords

Cite

@article{arxiv.1612.03327,
  title  = {Yosida Duality},
  author = {Bas Westerbaan},
  journal= {arXiv preprint arXiv:1612.03327},
  year   = {2016}
}
R2 v1 2026-06-22T17:19:32.686Z