7 papers
Löwner equations and de Branges--Rovnyak spaces
Michio Seto
We study one-parameter families of de Branges--Rovnyak spaces associated with the radial and chordal Löwner equations. Our approach is based on a classical but little-known techniq…
Distributed Shape Learning of Complex Objects Using Gaussian Kernel
Toshiyuki Oshima, Junya Yamauchi, Tatsuya Ibuki +2
This paper addresses distributed learning of a complex object for multiple networked robots based on distributed optimization and kernel-based support vector machine. In order to o…
A Fock space approach to the theory of strictly positive kernels
Michio Seto
In this paper, we give a new approach to the theory of strictly positive kernels. Our method is based on the structure of Fock spaces. As its applications, various examples of stri…
Operator theory induced by powers of the de Branges-Rovnyak kernel and its application
Shuhei Kuwahara, Michio Seto
In this note, we give a new property of de Branges-Rovnyak kernels. As the main theorem, it is shown that the exponential of de Branges-Rovnyak kernel is strictly positive definite…
Indefinite Schwarz-Pick inequalities on the bidisk (application of Hilbert module theory)
Michio Seto
Indefinite Schwarz-Pick inequalities for holomorphic self-maps of the bidisk are given as application of the spectral theory on Hilbert modules.
An indefinite range inclusion theorem for triplets of bounded linear operators on a Hilbert space
Michio Seto, Atsushi Uchiyama
We study triplets of Hilbert space operators satisfying a certain inequality. A range inclusion theorem with norm estimate for those triplets is given with the language of Kre\uın…