Mathematics > Functional Analysis
[Submitted on 19 Dec 2018 (v1), last revised 27 Jan 2020 (this version, v3)]
Title:Norms, Kernels and Eigenvalues of some Infinite Graphs
View PDFAbstract:In these 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.
Submission history
From: Rubén Martínez-Avendaño [view email][v1] Wed, 19 Dec 2018 22:36:25 UTC (21 KB)
[v2] Mon, 13 May 2019 17:44:14 UTC (22 KB)
[v3] Mon, 27 Jan 2020 19:19:40 UTC (23 KB)
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