NORMS, KERNELS AND EIGENVALUES OF SOME INFINITE GRAPHS

被引：1

作者：

Agrawal, Aahan ^{[1
]}

Berge, Astrid ^{[2
]}

Colbert-Pollack, Seth ^{[3
]}

Martinez-Avendano, Ruben A. ^{[4
]}

Sliheet, Elyssa ^{[5
]}

机构：

[1] Univ Illinois, Dept Comp Sci, Urbana, IL 61801 USA

[2] Univ Washington, Seattle, WA 98195 USA

[3] Kenyon Coll, Dept Math, Gambier, OH 43022 USA

[4] Inst Tecnol Autonomo Mexico, Dept Acad Matemat, Mexico City, DF, Mexico

[5] Southwestern Univ, Dept Math & Comp Sci, Georgetown, TX USA

来源：

OPERATORS AND MATRICES | 2020年 / 14卷 / 01期

关键词：

Infinite graphs; infinite trees; norm; kernel; spectrum; eigenvalues; SPECTRAL-ANALYSIS; RADIUS;

D O I：

10.7153/oam-2020-14-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the adjacency matrix of some infinite graphs, which we call the shift operator on the L-p space of the graph. In particular, we establish norm estimates, we find the norm for some cases, we decide the triviality of the kernel of some infinite trees, and we find the eigenvalues of certain infinite graphs obtained by attaching an infinite tail to some finite graphs.

引用

页码：221 / 250

页数：30

共 18 条

[1] THE SPECTRAL-RADIUS OF INFINITE-GRAPHS [J].