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Operator Theory and Indefinite Inner Product Spaces pp 75–95Cite as

Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 163))

Abstract

We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter. We give sufficient conditions under which a basis of each root subspace for this Sturm-Liouville problem can be selected so that the union of all these bases constitutes a Riesz basis of a corresponding weighted Hilbert space.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada

    Paul Binding

  2. Department of Mathematics, Western Washington University, Bellingham, WA, 98225, USA

    Branko Ćurgus

Authors
  1. Paul Binding
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  2. Branko Ćurgus
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow, G1 1XH, UK

    Matthias Langer

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10 / 101, 1040, Wien, Austria

    Annemarie Luger  & Harald Woracek  & 

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Binding, P., Ćurgus, B. (2005). Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I. In: Langer, M., Luger, A., Woracek, H. (eds) Operator Theory and Indefinite Inner Product Spaces. Operator Theory: Advances and Applications, vol 163. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7516-7_4

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