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Selected Works of Branko Ćurgus
Article
The Linearization of Boundary Eigenvalue Problems and Reproducing Kernel Hilbert Spaces
Linear Algebra and its Applications (2001)
  • Branko Ćurgus, Western Washington University
  • Aad Dijksma
  • Thomas Read, Western Washington University
Link
Abstract

The boundary eigenvalue problems for the adjoint of a symmetric relation S in a Hilbert space with finite, not necessarily equal, defect numbers, which are related to the selfadjoint Hilbert space extensions of S are characterized in terms of boundary coefficients and the reproducing kernel Hilbert spaces they induce.

Keywords
  • Symmetric and selfadjoint operators and relations; Extensions of symmetric relations; Defect indices; Boundary operators; Boundary coefficients; Eigenvalue depending boundary conditions; Linearization; Reproducing kernel Hilbert spaces; Indefinite inner product spaces
Disciplines
Publication Date
May, 2001
Publisher Statement
Copyright © 2001 Elsevier Science Inc DOI: 10.1016/S0024-3795(01)00237-3
Citation Information
Branko Ćurgus, Aad Dijksma and Thomas Read. "The Linearization of Boundary Eigenvalue Problems and Reproducing Kernel Hilbert Spaces" Linear Algebra and its Applications Vol. 329 Iss. 1-3 (2001)
Available at: http://works.bepress.com/branko_curgus/37/