Characterisations of open multivalued linear operators

• Autorzy: T. Álvarez
• Języki publikacji: EN

Abstrakty

EN

The class of all open linear relations is characterised in terms of the restrictions of the linear relations to finite-codimensional subspaces. As an application, we establish two results, the first of which shows that an upper semi-Fredholm linear relation retains its index under finite rank perturbations, and the second is a density theorem for lower bounded linear relations that have closed range. Results of Labuschagne and of Mbekhta about linear operators are covered.

Kategorie tematyczne

• 47A06: Linear relations (multivalued linear operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 175
• Numer: 3
• Strony: 205-212

Daty

wydano

2006

Twórcy

autor

T. Álvarez

• Department of Mathematics, University of Oviedo, 33007, Oviedo, Spain

Identyfikatory

DOI

10.4064/sm175-3-1