Publisher DOI: 10.1016/j.jmaa.2020.124180
Title: Limit operators techniques on general metric measure spaces of bounded geometry
Language: English
Authors: Hagger, Raffael 
Seifert, Christian  
Keywords: Bounded geometry;Essential spectrum;Fredholm;Limit operators;Metric measure spaces
Issue Date: 15-Sep-2020
Source: Journal of Mathematical Analysis and Applications 2 (489): 124180 (2020-09-15)
Abstract (english): 
We study band-dominated operators on (subspaces of) Lp-spaces over metric measure spaces of bounded geometry satisfying an additional property. We single out core assumptions to obtain, in an abstract setting, definitions of limit operators, characterizations of compactness and Fredholmness using limit operators; and thus also spectral consequences. In this way, we recover and unify the classical and recent results on limit operator techniques, but also gain new insights and are able to treat further applications.
URI: http://hdl.handle.net/11420/7150
ISSN: 1096-0813
Institute: Mathematik E-10 
Document Type: Article
Journal: Journal of mathematical analysis and applications 
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