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Isometric Gelfand transforms of complete Nevanlinna-Pick spaces

2025/02/10 by Kenta Kojin, Kojin, Kenta
Engineering · #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Polymer Science and Applications

paper · pdf · doi:10.48550/arxiv.2502.06240

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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