3 papers
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…
math.CO2012
Gram matrices of reproducing kernel Hilbert spaces over graphs
Michio Seto, Sho Suda, Tetsuji Taniguchi
In this paper, we introduce the notion of reproducing kernel Hilbert spaces for graphs and the Gram matrices associated with them. Our aim is to investigate the Gram matrices of re…