Publisher DOI: 10.1017/S0013091517000086
Title: Note on Spectra of Non-Selfadjoint Operators over Dynamical Systems
Language: English
Authors: Beckus, Siegfried 
Lenz, Daniel 
Lindner, Marko  
Seifert, Christian  
Issue Date: 1-May-2018
Source: Proceedings of the Edinburgh Mathematical Society 2 (61): 371-386 (2018-05-01)
Abstract (english): 
We consider equivariant continuous families of discrete one-dimensional operators over arbitrary dynamical systems. We introduce the concept of a pseudo-ergodic element of a dynamical system. We then show that all operators associated to pseudo-ergodic elements have the same spectrum and that this spectrum agrees with their essential spectrum. As a consequence we obtain that the spectrum is constant and agrees with the essential spectrum for all elements in the dynamical system if minimality holds.
URI: http://hdl.handle.net/11420/2942
ISSN: 0013-0915
Journal: Proceedings of the Edinburgh Mathematical Society 
Institute: Mathematik E-10 
Document Type: Article
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