Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

PDF

Mathematics Faculty Publications

Series

2009

Krein space

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

Riesz Bases Of Root Vectors Of Indefinite Sturm-Liouville Problems With Eigenparameter Dependent Boundary Conditions. Ii, Paul Binding, Branko Ćurgus Apr 2009

Riesz Bases Of Root Vectors Of Indefinite Sturm-Liouville Problems With Eigenparameter Dependent Boundary Conditions. Ii, Paul Binding, Branko Ćurgus

Mathematics Faculty Publications

We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions affinely dependent on the eigenparameter. We give sufficient conditions under which the root vectors of this Sturm-Liouville problem can be selected to form a Riesz basis of a corresponding weighted Hilbert space.