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math.FA2025
Isometric Gelfand transforms of complete Nevanlinna-Pick spaces
Kenta Kojin
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 uni…
math.FA2024
An RKHS approach to the indefinite Schwarz-Pick inequality on the bidisk
Kenta Kojin
In this short note, we will give a generalization of the indefinite Schwarz-Pick inequality due to Seto [8]. Our approach is based on a connection between complex geometry and the…
math.FA2021
A refined nc Oka-Weil theorem
Kenta Kojin
This short note refines nc Oka-Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorp…