GRAM MATRICES OF REPRODUCING KERNEL HILBERT SPACES OVER GRAPHS IV. (QUADRATIC INEQUALITIES FOR GRAPH LAPLACIANS)

被引：0

作者：

Seto, M. ^{[1
]}

Suda, S. ^{[2
]}

机构：

[1] Natl Def Acad, Yokosuka, Kanagawa 2398686, Japan

[2] Aichi Univ Educ, Kariya, Aichi 4488542, Japan

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2020年 / 31卷 / 01期

关键词：

Graph; Laplacian; quasi-orthogonal integral;

D O I：

10.1090/spmj/1588

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The relationship between a graph and its subgraph from a viewpoint of functional analysis is treated. As an application of the theory of quasi-orthogonal integrals developed by de Branges Rovnyak and Vasyunin Nikol'skii, quadratic inequalities for graph Laplacians are given.

引用

页码：107 / 116

页数：10

共 20 条

[1] Gram matrices of reproducing kernel Hilbert spaces over graphs
Seto, Michio
Suda, Sho
Taniguchi, Tetsuji
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 445 : 56 - 68
[2] GRAM MATRICES OF REPRODUCING KERNEL HILBERT SPACES OVER GRAPHS III
Seto, Michio
Suda, Sho
[J]. OPERATORS AND MATRICES, 2017, 11 (03): : 759 - 768
[3] INEQUALITIES FOR GRAM MATRICES AND THEIR APPLICATIONS TO REPRODUCING KERNEL HILBERT SPACES
Yamada, Akira
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (02): : 427 - 430
[4] Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions
Jorgensen, Palle
Tian, Feng
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2016, 34 (04) : 722 - 747
[5] Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces
Jorgensen, Palle E. T.
Pearse, Erin P. J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) : 765 - 807
[6] OPERATOR INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
Yamanci, Ulas
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (01): : 204 - 211
[7] Riccati inequalities and reproducing kernel Hilbert spaces
Dubi, Chen
Dym, Harry
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 420 (2-3) : 458 - 482
[8] VARIOUS INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
Nguyen Du Vi Nhan
Dinh Thanh Duc
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (01): : 221 - 237
[9] Bernstein-Szego Inequalities in Reproducing Kernel Hilbert Spaces
Reyes, Noli N.
Artes, Rosalio G.
[J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2012, 6 (02): : 125 - 136
[10] EQUALITY CONDITIONS FOR NORM INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
Yamada, Akira
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (02): : 377 - 390

← 1 2 →