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 |
Appears in Collections: | Publications without fulltext |
Show full item record
Page view(s)
86
Last Week
0
0
Last month
3
3
checked on Jun 27, 2022
SCOPUSTM
Citations
3
Last Week
0
0
Last month
0
0
checked on Jun 18, 2022
Google ScholarTM
Check
Add Files to Item
Note about this record
Cite this record
Export
Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.