Publisher DOI: 10.1007/978-3-319-75996-8_20
Title: Finite sections of the Fibonacci Hamiltonian
Language: English
Authors: Lindner, Marko  
Söding, Hagen 
Keywords: Fibonacci Hamiltonian;Finite section method;Jacobi operator;Limit operators
Issue Date: 2018
Publisher: Birkhäuser
Source: in: The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268) : 381-396 (2018)
Abstract (english): 
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.
URI: http://hdl.handle.net/11420/3456
ISSN: 0255-0156
Institute: Mathematik E-10 
Document Type: Chapter (Book)
Part of Series: Operator theory 
Volume number: 268
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