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The Glazman-Krein-Naimark Theorem for Ordinary Differential Operators

  • W. N. Everitt
  • L. Markus
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 98)

Abstract

The original form of symmetric boundary conditions for Lagrange symmetric (formally self-adjoint) ordinary linear differential expressions, was obtained by I.M. Glazman in his seminal paper of 1950. This result described all self-adjoint differential operators, in the underlying Hilbert function space, generated by real even-order differential expressions.

Keywords

Linear Manifold Linear Differential Operator Chapter Versus Ordinary Differential Operator Deficiency Index 
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Copyright information

© Springer Basel AG 1997

Authors and Affiliations

  • W. N. Everitt
    • 1
  • L. Markus
    • 2
  1. 1.School of Mathematics and StatisticsUniversity of BirminghamEdgbaston BirminghamEngland, UK
  2. 2.School of MathematicsUniversity of MinnesotaMinnesotaUSA

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