Beckus, SiegfriedSiegfriedBeckusLenz, DanielDanielLenzLindner, MarkoMarkoLindnerSeifert, ChristianChristianSeifert2019-11-122019-11-122017-12-01Mathematische Zeitschrift 3-4 (287): 993-1007 (2017-12-01)http://hdl.handle.net/11420/3772It 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.en0025-587420173-49931007Minimal dynamical systemP-TheoryPseudo-ergodicitySpectrumJournal Article10.1007/s00209-017-1856-5Other