Limit operators techniques on general metric measure spaces of bounded geometry

Publikationstyp
Journal Article
Date Issued
2020-09-15
Sprache
English
Author(s)
Hagger, Raffael  
Seifert, Christian  orcid-logo
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/7150
Journal
Journal of mathematical analysis and applications  
Volume
489
Issue
2
Article Number
124180
Citation
Journal of Mathematical Analysis and Applications 2 (489): 124180 (2020-09-15)
Publisher DOI
10.1016/j.jmaa.2020.124180
Scopus ID
2-s2.0-85089411722
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.
Subjects
Bounded geometry
Essential spectrum
Fredholm
Limit operators
Metric measure spaces