Verlagslink DOI: 10.1016/j.jmaa.2015.11.060
Titel: Essential pseudospectra and essential norms of band-dominated operators
Sprache: Englisch
Autor/Autorin: Hagger, Raffael 
Lindner, Marko  
Seidel, Markus 
Schlagwörter: Band-dominated operator; Essential spectrum; Fredholm theory; Limit operator; Pseudospectra
Erscheinungs­datum: 1-Mai-2016
Quellenangabe: Journal of Mathematical Analysis and Applications 1 (437): 255-291 (2016-05-01)
Zusammenfassung (englisch): 
An operator A on an lp-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. The coset of A in the Calkin algebra determines, for example, the Fredholmness of A, the Fredholm index, the essential spectrum, the essential norm and the so-called essential pseudospectrum of A. This coset can be identified with the collection of all so-called limit operators of A. It is known that this identification preserves invertibility (hence spectra). We now show that it also preserves norms and in particular resolvent norms (hence pseudospectra). In fact we work with a generalization of the ideal of compact operators, so-called P-compact operators, allowing for a more flexible framework that naturally extends to lp-spaces with p∈(1, ∞) and/or vector-valued lp-spaces.
URI: http://hdl.handle.net/11420/5948
ISSN: 1096-0813
Zeitschrift: Journal of mathematical analysis and applications 
Institut: Mathematik E-10 
Dokumenttyp: Artikel/Aufsatz
Enthalten in den Sammlungen:Publications without fulltext

Zur Langanzeige

Seitenansichten

85
Letzte Woche
1
Letzten Monat
2
checked on 04.10.2022

SCOPUSTM   
Zitate

11
Letzte Woche
0
Letzten Monat
1
checked on 30.06.2022

Google ScholarTM

Prüfe

Volltext ergänzen

Feedback zu diesem Datensatz

Diesen Datensatz zitieren

Export

Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt.