Publisher DOI: | 10.1007/s00209-017-1856-5 | Title: | On the spectrum of operator families on discrete groups over minimal dynamical systems | Language: | English | Authors: | Beckus, Siegfried Lenz, Daniel Lindner, Marko ![]() Seifert, Christian ![]() |
Keywords: | Minimal dynamical system; P-Theory; Pseudo-ergodicity; Spectrum | Issue Date: | 1-Dec-2017 | Source: | Mathematische Zeitschrift 3-4 (287): 993-1007 (2017-12-01) | Abstract (english): | It is well known that, given an equivariant and continuous (in a suitable sense) family of selfadjoint operators in a Hilbert space over a minimal dynamical system, the spectrum of all operators from that family coincides. As shown recently similar results also hold for suitable families of non-selfadjoint operators in ℓp(Z). Here, we generalize this to a large class of bounded linear operator families on Banach-space valued ℓp-spaces over countable discrete groups. We also provide equality of the pseudospectra for operators in such a family. A main tool for our analysis are techniques from limit operator theory. |
URI: | http://hdl.handle.net/11420/3772 | ISSN: | 0025-5874 | Journal: | Mathematische Zeitschrift | Institute: | Mathematik E-10 | Document Type: | Article |
Appears in Collections: | Publications without fulltext |
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