Isometric Gelfand transforms of complete Nevanlinna-Pick spaces
Functional Analysis
2025-02-11 v1 Complex Variables
Operator Algebras
Abstract
We show that any complete Nevanlinna-Pick space whose multiplier algebra has isometric Gelfand transform (or commutative C*-envelope) is essentially the Hardy space on the open unit disk.
Cite
@article{arxiv.2502.06240,
title = {Isometric Gelfand transforms of complete Nevanlinna-Pick spaces},
author = {Kenta Kojin},
journal= {arXiv preprint arXiv:2502.06240},
year = {2025}
}
Comments
12 pages