|Publisher DOI:||10.1007/978-3-319-75996-8_20||Title:||Finite sections of the Fibonacci Hamiltonian||Language:||English||Authors:||Lindner, Marko
|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|
|Appears in Collections:||Publications without fulltext|
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