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Алгебра и анализ, 2019, том 31, выпуск 1, страницы 143–155
(Mi aa1632)
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Статьи
Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)
M. Setoa, S. Sudab a National Defense Academy, Yokosuka 239-8686, Japan
b Aichi University of Education, Kariya 448-8542, Japan
Аннотация:
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.
Ключевые слова:
graph, Laplacian, quasi-orthogonal integral.
Поступила в редакцию: 22.11.2017
Образец цитирования:
M. Seto, S. Suda, “Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)”, Алгебра и анализ, 31:1 (2019), 143–155; St. Petersburg Math. J., 31:1 (2020), 107–116
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1632 https://www.mathnet.ru/rus/aa/v31/i1/p143
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