|Publisher DOI:||10.1017/S0013091517000086||Title:||Note on Spectra of Non-Selfadjoint Operators over Dynamical Systems||Language:||English||Authors:||Beckus, Siegfried
|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|
|Appears in Collections:||Publications without fulltext|
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