On spectral properties and extensions of bounded linear operators

If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spe...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Boletín de matemáticas 2015-01, Vol.22 (2), p.177-190
Hauptverfasser:	Carpintero, Carlos, Rosas, Ennis, Sanabria, José, García, Orlando, Rodríguez, Jorge
Format:	Artikel
Sprache:	eng ; spa
Schlagworte:	Boundary value problems Linear equations Mathematics operador semi Fredholm poles of the resolvent polos del resolvente propiedad de la extensión univaluada Propiedades espectrales semi Fredholm operator single Spectral properties valued extension property
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa.
ISSN:	0120-0380 2357-6529