Finite sections of the Fibonacci Hamiltonian

Publikationstyp
Book Part
Date Issued
2018
Sprache
English
Author(s)
Lindner, Marko  orcid-logo
Söding, Hagen  
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/3456
First published in
Operator theory  
Number in series
268
Start Page
381
End Page
396
Citation
Operator Theory: Advances and Applications 268: 381-396 (2018)
Publisher DOI
10.1007/978-3-319-75996-8_20
Scopus ID
2-s2.0-85046275147
Publisher
Birkhäuser
ISBN
978-3-319-75996-8
978-3-319-75995-1
We study finite but growing principal square submatrices An of the one- or two-sided infinite Fibonacci Hamiltonian A. Our results show that such a sequence (An), no matter how the points of truncation are chosen, is always stable – implying that An is invertible for sufficiently large n and A–1n → A–1 pointwise.
Subjects
Fibonacci Hamiltonian
Finite section method
Jacobi operator
Limit operators
DDC Class
600: Technology