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math.FA2022
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…
math.FA2019
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.
math.FA2019
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…