M. Seto, S. Suda, “Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)”, Algebra i Analiz, 2019, Volume 31, Issue 1,Pages <nobr>143

Research Papers

Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)

M. Seto^a, S. Suda^b

^a National Defense Academy, Yokosuka 239-8686, Japan
^b Aichi University of Education, Kariya 448-8542, Japan

Abstract: We study the relationship between a graph and its subgraph from a viewpoint of functional analysis. As an application of the theory of quasi-orthogonal integrals developed by de Branges–Rovnyak and Vasyunin–Nikol'skiĭ, quadratic inequalities for graph Laplacians are given.

Keywords: graph, Laplacian, quasi-orthogonal integral.

MSC: 34B45

Received: 22.11.2017

Language: English