2009/03/26 by Kevin Romeo, Romeo, Kevin, Benjamin Steinhurst +1
Mathematics · Physics and Astronomy · #34L16 #34L40 #54B30 #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.FA #math.MP #msc:34L16 #msc:34L40 #msc:54B30
paper · pdf · doi:10.48550/arxiv.0903.4661
16 pages, 8 figures, 1 table
arxiv created 2009/03/26 · openalex publication_date 2009/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the spectrum of a self-adjoint operator on a Laakso space using the projective limit construction originally given by Barlow and Evans. We will use the hierarchical cell structure induced by the choice of approximating quantum graphs to calculate the spectrum with multiplicities. We also extend the method for using the hierarchical cell structure to more general projective limits beyond Laakso spaces.