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Bi-extensions of Closed Symmetric Operators

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

Abstract

In this chapter we introduce and consider a new type of extensions of a given symmetric operator with its exit into the triplets of Hilbert spaces. These new extensions are called bi-extensions. We present a complete description and parameterizations of these bi-extensions. Special attention is paid to so-called twice self-adjoint (t-self-adjoint ) bi-extensions that will play an important role in the remaining part of this text.

Keywords

Adjoint Operator Symmetric Operator Linear Manifold Bijective Correspondence Unitary Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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