Extensions of Symmetric Operators

  • Yuri Arlinskii
  • Sergey Belyi
  • Eduard Tsekanovskii
Part of the Operator Theory: Advances and Applications book series (OT, volume 217)


In this chapter we deal with extensions of densely and non-densely defined symmetric operators. The parametrization of the domains of all self-adjoint extensions in both dense and non-dense cases is given in terms of von Neumann’s and \({\rm Krasnoselski\breve{i}^\prime s}\) formulas, respectively. The so-called admissible unitary operators serve as parameters in \({\rm Krasnoselski\breve{i}^\prime s}\) formulas.


Hilbert Space Operator Versus Symmetric Operator Linear Manifold Dense Case 
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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Yuri Arlinskii
    • 1
  • Sergey Belyi
    • 2
  • Eduard Tsekanovskii
    • 3
  1. 1.Department of MathematicsEast Ukrainian National UniversityLuganskUkraine
  2. 2.Department of MathematicsTroy UniversityTroyUSA
  3. 3.Department of MathematicsNiagara UniversityLewistonUSA

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