2 citations · 3 across the 6 of their papers we have counts for
7 papers
Indefinite structure of the Bergman kernel on the open unit disk
Kenta Kojin, Shuhei Kuwahara, Michio Seto
In this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite ke…
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…
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…
Complex structure that admits complete Nevanlinna-Pick spaces of Hardy type
Kenta Kojin
In this paper, we will characterize those sets, over which every irreducible complete Nevanlinna--Pick space enjoys that its multiplier and supremum norms coincide. Moreover, we wi…
Some relations between Schwarz-Pick inequality and von Neumann's inequality
Kenta Kojin
We study a Schwarz-Pick type inequality for the Schur-Agler class . In our operator theoretical approach, von Neumann's inequality for a class of generic tuples of $2\time…
A polynomial approximation result for free Herglotz-Agler functions
Kenta Kojin
In this paper, we prove a noncommutative (nc for short) analog of Schwarz lemma for the nc Schur-Agler class and prove that the regular nc Schur-Agler class and the regular free He…
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…